Mathematical Methods in the Applied Sciences

Papers
(The TQCC of Mathematical Methods in the Applied Sciences is 4. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-04-01 to 2024-04-01.)
ArticleCitations
Artificial neural networking (ANN) analysis for heat and entropy generation in flow of non‐Newtonian fluid between two rotating disks255
Model‐based comparative study of magnetohydrodynamics unsteady hybrid nanofluid flow between two infinite parallel plates with particle shape effects141
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative120
A general fractional formulation and tracking control for immunogenic tumor dynamics112
On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique111
Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis102
On the solution of a boundary value problem associated with a fractional differential equation101
A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method100
Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations94
Simpson and Newton type inequalities for convex functions via newly defined quantum integrals78
Existence of solutions for some functional integrodifferential equations with nonlocal conditions74
Chaotic behaviors of the prevalence of an infectious disease in a prey and predator system using fractional derivatives73
Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field68
Vibration analysis of carbon nanotube‐reinforced composite microbeams66
Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness64
Global stability analysis of a fractional SVEIR epidemic model64
A novel model of nonlocal thermoelasticity with time derivatives of higher order63
Exact and approximate solutions of time‐fractional models arising from physics via Shehu transform63
Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme62
Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations62
Some new Simpson's type inequalities for coordinated convex functions in quantum calculus62
Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator58
Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system58
Mathematical analysis of memristor through fractal‐fractional differential operators: A numerical study58
A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay57
Analytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral d54
Homotopy perturbation method for N/MEMS oscillators50
Mathematical study on bifurcation dynamics and control mechanism of tri‐neuron bidirectional associative memory neural networks including delay50
Dynamics and bifurcations of a discrete‐time Lotka–Volterra model using nonstandard finite difference discretization method50
Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework48
A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems45
The analysis of a time delay fractional COVID‐19 model via Caputo type fractional derivative44
Numerical simulation for the mixed convective flow of non‐Newtonian fluid with activation energy and entropy generation44
Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis44
Efficacy of injectable rib height on the heat transfer and entropy generation in the microchannel by affecting slip flow44
Optical soliton solutions for the generalized Kudryashov equation of propagation pulse in optical fiber with power nonlinearities by three integration algorithms44
Nanofluid flow through microchannel with a triangular corrugated wall: Heat transfer enhancement against entropy generation intensification43
New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method42
Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order42
Analysis of hydrothermal characteristics of magnetic Al2O3‐H2O nanofluid within a novel wavy enclosure during natural convection process considering internal heat gene41
Fangzhu (方诸): An ancient Chinese nanotechnology for water collection from air: History, mathematical insight, promises, and challenges40
Higher order mixture nonlocal gradient theory of wave propagation40
A study of the fractal foam drainage model in a microgravity space39
Novel extended mixed controller design for bifurcation control of fractional‐order Myc/E2F/miR‐17‐92 network model concerning delay39
Functionalized Multi‐Walled carbon Nano Tubes nanoparticles dispersed in water through an Magneto Hydro Dynamic nonsmooth duct equipped with sinusoidal‐wavy wall: Diminishing vortex intensity via nonl38
Bifurcation insight for a fractional‐order stage‐structured predator–prey system incorporating mixed time delays38
A comparative analysis of electromechanical model of piezoelectric actuator through Caputo–Fabrizio and Atangana–Baleanu fractional derivatives38
An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law37
Propagation of the nonlinear damped Korteweg‐de Vries equation in an unmagnetized collisional dusty plasma via analytical mathematical methods36
Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term36
New approach for fractional Schrödinger‐Boussinesq equations with Mittag‐Leffler kernel36
N‐lump and interaction solutions of localized waves to the (2 + 1)‐dimensional asymmetrical Nizhnik–Novikov–Veselov equation arise from a model for an incompressible fluid36
Hybrid ferrofluid along with MWCNT for augmentation of thermal behavior of fluid during natural convection in a cavity35
Magnetohydrodynamic convection behaviours of nanofluids in non‐square enclosures: A comprehensive review34
Two‐phase local/nonlocal gradient mechanics of elastic torsion34
On a fractional Caputo–Hadamard inclusion problem with sum boundary value conditions by using approximate endpoint property33
A study on fractional COVID‐19 disease model by using Hermite wavelets33
Analytical and semi‐analytical solutions for time‐fractional Cahn–Allen equation33
On the geometrically nonlinear vibration of a piezo‐flexomagnetic nanotube33
Classes of operators in fractional calculus: A case study33
Further investigation on bifurcation and their control of fractional‐order bidirectional associative memory neural networks involving four neurons and multiple delays33
Sharp oscillation criteria for second‐order neutral delay differential equations32
On the (N+1)‐dimensional local fractional reduced differential transform method and its applications32
Breather wave and lump‐type solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation in incompressible fluid31
Lagrange exponential stability of quaternion‐valued memristive neural networks with time delays31
Effects of nonlocal thermoelasticity on nanoscale beams based on couple stress theory31
Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives31
Stability of discrete‐time fractional‐order time‐delayed neural networks in complex field31
Natural convection heat transfer of water/Ag nanofluid inside an elliptical enclosure with different attack angles30
Lie symmetry analysis, optimal system, and generalized group invariant solutions of the (2 + 1)‐dimensional Date–Jimbo–Kashiwara–Miwa equation30
Natural convection nanofluid flow with heat transfer analysis of carbon nanotubes–water nanofluid inside a vertical truncated wavy cone30
A fractional‐order model of coronavirus disease 2019 (COVID‐19) with governmental action and individual reaction29
Global dynamics and bifurcation analysis of a fractional‐order SEIR epidemic model with saturation incidence rate29
Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations29
Analysis of the fractional corona virus pandemic via deterministic modeling29
Optimum buffer stock during preventive maintenance in an imperfect production system29
Distance‐based topological descriptors for measuring the π‐electronic energy of benzenoid hydrocarbons with applications to carbon nanotubes28
Interpretation of entropy generation in Williamson fluid flow with nonlinear thermal radiation and first‐order velocity slip28
Hermite‐Hadamard‐type inequalities for interval‐valued coordinated convex functions involving generalized fractional integrals28
New soliton solutions of the 2D‐chiral nonlinear Schrodinger equation using two integration schemes28
Solution of time‐fractional stochastic nonlinear sine‐Gordon equation via finite difference and meshfree techniques28
Synthesis and characterization of additive graphene oxide nanoparticles dispersed in water: Experimental and theoretical viscosity prediction of non‐Newtonian nanofluid28
Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution27
Solitary and periodic wave solutions of the generalized fourth‐order Boussinesq equation via He's variational methods27
Exact traveling wave solutions of Chaffee–Infante equation in (2 + 1)‐dimensions and dimensionless Zakharov equation27
Spatially inhomogeneous bifurcating periodic solutions induced by nonlocal competition in a predator–prey system with additional food27
On Laplace transforms with respect to functions and their applications to fractional differential equations27
Some novel inequalities for LR‐h‐convex interval‐valued functions by means of pseudo‐order relation27
Nonlinear dynamic analysis of vibratory behavior of a graphene nano/microelectromechanical system27
Nonlocal study of the vibration and stability response of small‐scale axially moving supported beams on viscoelastic‐Pasternak foundation in a hygro‐thermal environment26
Stability analysis for a nonlinear coupled system of fractional hybrid delay differential equations26
Randomized time‐varying knapsack problems via binary beetle antennae search algorithm: Emphasis on applications in portfolio insurance26
Generalized wavelet quasilinearization method for solving population growth model of fractional order26
An analytical study on Mittag‐Leffler–confluent hypergeometric functions with fractional integral operator26
Effect of Fangzhu's nanoscale surface morphology on water collection26
On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals26
Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law26
Existence and optimal control problem for semilinear fractional order (1,2] control system26
Variational principle for nonlinear oscillator arising in a fractal nano/microelectromechanical system25
Pattern formations of a delayed diffusive predator–prey model with predator harvesting and prey social behavior25
Reproducing kernel method for Fangzhu's oscillator for water collection from air25
Thermal conductivity enhancement of nanofluid by adding multiwalled carbon nanotubes: Characterization and numerical modeling patterns25
The simplest approach to solving the cubic nonlinear jerk oscillator with the non‐perturbative method25
Coupling immersed boundary and lattice Boltzmann method for modeling multi‐body interactions subjected to pulsatile flow25
Economic ordering policy for non‐instantaneous deteriorating items with price and advertisement dependent demand and permissible delay in payment under inflation24
New chaotic attractors: Application of fractal‐fractional differentiation and integration24
A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials24
New various multisoliton kink‐type solutions of the (1 + 1)‐dimensional Mikhailov–Novikov–Wang equation24
Vibration analysis of shear deformable carbon nanotubes‐based functionally graded conical shells resting on elastic foundations24
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network24
Approximate solutions for stochastic time‐fractional reaction–diffusion equations with multiplicative noise23
Monotonicity results for nabla fractional h‐difference operators23
Nonlinear deflection of carbon nanotube reinforced multiphase magneto‐electro‐elastic plates in thermal environment considering pyrocoupling effects23
Blending‐type approximation by Lupaş–Durrmeyer‐type operators involving Pólya distribution23
Global stability of delay‐distributed viral infection model with two modes of viral transmission and B‐cell impairment23
On the multiple explicit exact solutions to the double‐chain DNA dynamical system22
Nonexistence of global solutions of systems of time fractional differential equations posed on the Heisenberg group22
Quantum Ostrowski‐type integral inequalities for functions of two variables22
On new abundant solutions of the complex nonlinear Fokas–Lenells equation in optical fiber22
Marangoni‐bioconvectional flow of Reiner–Philippoff nanofluid with melting phenomenon and nonuniform heat source/sink in the presence of a swimming microorganisms22
Bäcklund transformation and some different types of N‐soliton solutions to the (3 + 1)‐dimensional generalized nonlinear evolution equation for the shallow‐water waves22
A critical Kirchhoff‐type problem driven by a p (·)‐fractional Laplace operator with variable s (·) ‐order22
Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method22
Optimal control problem of the uncertain second‐order circuit based on first hitting criteria22
A study on Caudrey–Dodd–Gibbon–Sawada–Kotera partial differential equation22
Interaction among a lump, periodic waves, and kink solutions to the fractional generalized CBS‐BK equation22
Stability analysis of inertial neural networks: A case of almost anti‐periodic environment22
Uncertainty principles for the quadratic‐phase Fourier transforms21
Image restorations using a modified relaxed inertial technique for generalized split feasibility problems21
Dynamics of exact soliton solutions in the double‐chain model of deoxyribonucleic acid21
The soliton solutions for the (4 + 1)‐dimensional stochastic Fokas equation21
An analytical integration Legendre polynomial series approach for Lamb waves in fractional order thermoelastic multilayered plates21
Analysis of q‐fractional implicit boundary value problems having Stieltjes integral conditions21
Elastic magnetic curves of ferromagnetic and superparamagnetic models21
Modeling of fractional‐order COVID‐19 epidemic model with quarantine and social distancing21
Synchronization for stochastic hybrid coupled controlled systems with Lévy noise21
Improvements and generalizations of results concerning attraction‐repulsion chemotaxis models20
A 2D kernel determination problem in a visco‐elastic porous medium with a weakly horizontally inhomogeneity20
Qualitative analysis of solutions for the p‐Laplacian hyperbolic equation with logarithmic nonlinearity20
Role of Fourier sine transform on the dynamical model of tensioned carbon nanotubes with fractional operator20
Some new inequalities for generalized h‐convex functions involving local fractional integral operators with Mittag‐Leffler kernel20
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays20
On implicit fractional q‐difference equations: Analysis and stability20
Predictive potential of spectrum‐based topological descriptors for measuring theπ‐electronic energy of benzenoid hydrocarbons with applications to boron triangular and boronα‐nanotubes20
Defining Hausdorff operators on Euclidean spaces20
On the non‐differentiable exact solutions of the (2 + 1)‐dimensional local fractional breaking soliton equation on Cantor sets19
Complex dynamics of a discrete‐time seasonally forced SIR epidemic model19
General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms19
District metered area design through multicriteria and multiobjective optimization19
A new model for investigating the transmission of infectious diseases in a prey‐predator system using a non‐singular fractional derivative19
Numerical solutions for the reaction–diffusion, diffusion‐wave, and Cattaneo equations using a new operational matrix for the Caputo–Fabrizio derivative19
Substantial, tempered, and shifted fractional derivatives: Three faces of a tetrahedron19
Performance of joined artificial neural network and genetic algorithm to study the effect of temperature and mass fraction of nanoparticles dispersed in ethanol19
Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels19
Transverse MHD flow of Al2O3‐Cu/H2O hybrid nanofluid with active radiation: A novel hybrid model19
Pattern formation in superdiffusion predator–prey‐like problems with integer‐ and noninteger‐order derivatives19
Influence of nanoparticle diameter and interfacial layer on magnetohydrodynamic nanofluid flow with melting heat transfer inside rotating channel19
Study on the explicit solutions of the Benney–Luke equation via the variational direct method19
Analysis of fractional COVID‐19 epidemic model under Caputo operator19
A two‐dimensional diffusion coefficient determination problem for the time‐fractional equation19
On the wave solutions of time‐fractional Sawada‐Kotera‐Ito equation arising in shallow water18
Bifurcation analysis of a diffusive predator–prey model with prey social behavior and predator harvesting18
Global asymptotic stability of neutral type fractional‐order memristor‐based neural networks with leakage term, discrete and distributed delays18
The limiting behavior of the Riemann solution to the isentropic Euler system for logarithmic equation of state with a source term18
An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems18
On new abundant exact traveling wave solutions to the local fractional Gardner equation defined on Cantor sets18
Fractional traveling wave solutions of the (2 + 1)‐dimensional fractional complex Ginzburg–Landau equation via two methods18
Solutions of system of Volterra integro‐differential equations using optimal homotopy asymptotic method18
Nonlinear dynamics of (2 + 1)‐dimensional Bogoyavlenskii–Schieff equation arising in plasma physics18
Codimension two Lie invariant solutions of the modified Khokhlov–Zabolotskaya–Kuznetsov equation18
Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitation18
Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐1918
Modelling the dynamics of a nanocapillary system with a moving mass using the non‐local strain gradient theory18
Memory kernel reconstruction problems in the integro‐differential equation of rigid heat conductor18
The discrete‐time Kolmogorov systems with historic behavior17
Complex dynamics of some models of antimicrobial resistance on complex networks17
Numerical appraisal under the influence of the time dependent Maxwell fluid flow over a stretching sheet17
A coupled system of nonlinear Caputo–Hadamard Langevin equations associated with nonperiodic boundary conditions17
Exponential integrators for linear inhomogeneous problems17
Effects of green innovation and advertisement in an imperfect production‐based competitive supply chain under two‐tier credit facility17
Direct estimation of SIR model parameters through second‐order finite differences17
On qualitative theory of fractional order delay evolution equation via the prior estimate method17
Analyzing the dynamics of a stochastic rumor propagation model incorporating media coverage17
Representation of solutions for linear fractional systems with pure delay and multiple delays17
Nečas–Lions lemma revisited: An Lp‐version of the generalized Korn inequality for incompatible tensor fields17
New insights into a chaotic system with only a Lyapunov stable equilibrium17
Resilient group consensus in heterogeneously robust networks with hybrid dynamics17
On the spaces of Cesàro absolutely p‐summable, null, and convergent sequences17
Discrete generalized fractional operators defined using h‐discrete Mittag‐Leffler kernels and applications to AB fractional difference systems17
Global well‐posedness and exponential stability results of a class of Bresse‐Timoshenko‐type systems with distributed delay term17
Advance in compact structure‐preserving manner to the Rosenau–Kawahara model of shallow‐water wave16
New results on the asymptotic behavior of an SIS epidemiological model with quarantine strategy, stochastic transmission, and Lévy disturbance16
Fractional heat conduction model with phase lags for a half‐space with thermal conductivity and temperature dependent16
On development of heat transportation through bioconvection of Maxwell nanofluid flow due to an extendable sheet with radiative heat flux and prescribed surface temperature and prescribed heat flux co16
Applying homotopy perturbation method to provide an analytical solution for Newtonian fluid flow on a porous flat plate16
Role of single slip assumption on the viscoelastic liquid subject to non‐integer differentiable operators16
Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay16
The role of indirect prey‐taxis and interference among predators in pattern formation16
Analysis of the L1 scheme for a time fractional parabolic–elliptic problem involving weak singularity16
Enhanced magnetohydrodynamic thermal convection in a partially driven cavity packed with a nanofluid‐saturated porous medium16
Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a Caputo–Fabrizio derivative16
Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction betweenk‐lump andk‐stripe soliton solutions for the generalized KP equation16
Electromagnetic field and initial stress on a photothermal semiconducting voids medium under thermoelasticity theories16
A local meshless method for the numerical solution of space‐dependent inverse heat problems16
Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions16
Fast implicit difference schemes for time‐space fractional diffusion equations with the integral fractional Laplacian16
Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative16
Multiple lump solutions of the (2+1)‐dimensional Konopelchenko–Dubrovsky equation16
Slant helix of order n and sequence of Darboux developables of principal‐directional curves15
Analysis and numerical simulation of novel coronavirus (COVID‐19) model with Mittag‐Leffler Kernel15
A study on fractional HIV‐AIDs transmission model with awareness effect15
Some exact solutions of a variable coefficients fractional biological population model15
Kemeny's constant and global mean first passage time of random walks on octagonal cell network15
Modeling and dual solutions for magnetized mixed convective stagnation point flow of upper convected Maxwell fluid model with second‐order velocity slip15
Analytical wave solutions of the (2+1)‐dimensional Boiti–Leon–Pempinelli and Boiti–Leon–Manna–Pempinelli equations by mathematical methods15
Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation15
Nehari manifold and bifurcation for a ψ‐Hilfer fractional p‐Laplacian15
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations15
Existence and uniqueness results for initial value problem of nonlinear fractional integro‐differential equation on an unbounded domain in a weighted Banach space15
A new regular infinite matrix defined by Jordan totient function and its matrix domain in p15
Bifurcation analysis of an age‐structured prey–predator model with infection developed in prey15
A fractional‐order generalized Taylor wavelet method for nonlinear fractional delay and nonlinear fractional pantograph differential equations15
On p–Laplacian boundary value problems involving Caputo–Katugampula fractional derivatives15
Stability analysis for fractional order implicit ψ‐Hilfer differential equations15
Stability analysis of systems with time‐varying delay via a delay‐product‐type integral inequality15
Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito‐borne and sexually transmitted disease15
Improving the performance of deep learning models using statistical features: The case study of COVID‐19 forecasting15
A fixed point approach for tuning circuit problem in dislocated b‐metric spaces15
Delayed analogue of three‐parameter Mittag‐Leffler functions and their applications to Caputo‐type fractional time delay differential equations14
Towards new general double integral transform and its applications to differential equations14
A case study of Covid‐19 epidemic in India via new generalised Caputo type fractional derivatives14
On Fourier–Bessel matrix transforms and applications14
Sixth‐order, P‐stable, Numerov‐type methods for use at moderate accuracies14
Topology identification of multi‐weighted complex networks based on adaptive synchronization: A graph‐theoretic approach14
Fractional dynamics of huanglongbing transmission within a citrus tree14
Natural convection flows of carbon nanotubes nanofluids with Prabhakar‐like thermal transport14
A comprehensive probabilistic analysis of approximate SIR‐type epidemiological models via full randomized discrete‐time Markov chain formulation with applications14
A numerical method for finding solution of the distributed‐order time‐fractional forced Korteweg–de Vries equation including the Caputo fractional derivative14
A fractional‐order mathematical model for analyzing the pandemic trend of COVID‐1914
On the parabolic‐elliptic Keller–Segel system with signal‐dependent motilities: A paradigm for global boundedness and steady states14
Hybrid fully spectral linearized scheme for time‐fractional evolutionary equations14
Linear barycentric rational collocation method for solving telegraph equation14
Nehari‐type ground state solutions for a Choquard equation with lower critical exponent and local nonlinear perturbation14
New traveling wave solutions for Gilson–Pickering equation in plasma via bifurcation analysis and direct method14
On tempered fractional calculus with respect to functions and the associated fractional differential equations14
Stability analysis of activation‐inhibition Boolean networks with stochastic function structures14
Features of inclined magnetohydrodynamics on a second‐grade fluid impinging on vertical stretching cylinder with suction and Newtonian heating14
Mathematical modeling for peristalsis of couple stress nanofluid14
On solutions of the Newell–Whitehead–Segel equation and Zeldovich equation14
A comparative analysis of two computational schemes for solving local fractional Laplace equations14
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