Mathematical Methods in the Applied Sciences

Article	Citations
Artificial neural networking (ANN) analysis for heat and entropy generation in flow of non‐Newtonian fluid between two rotating disks	253
Model‐based comparative study of magnetohydrodynamics unsteady hybrid nanofluid flow between two infinite parallel plates with particle shape effects	151
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative	128
A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method	118
On novel nondifferentiable exact solutions to local fractional Gardner's equation using an effective technique	118
A general fractional formulation and tracking control for immunogenic tumor dynamics	116
Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis	109
Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations	82
Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator	78
Adaptation of kernel functions‐based approach with Atangana–Baleanu–Caputo distributed order derivative for solutions of fuzzy fractional Volterra and Fredholm integrodifferential equations	76
Chaotic behaviors of the prevalence of an infectious disease in a prey and predator system using fractional derivatives	73
Global stability analysis of a fractional SVEIR epidemic model	69
Vibration analysis of carbon nanotube‐reinforced composite microbeams	69
Some new Simpson's type inequalities for coordinated convex functions in quantum calculus	68
Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme	65
A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems	61
A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay	61
Results concerning to approximate controllability of non‐densely defined Sobolev‐type Hilfer fractional neutral delay differential system	59
Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis	58
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 d	55
Dynamics and bifurcations of a discrete‐time Lotka–Volterra model using nonstandard finite difference discretization method	55
Mathematical study on bifurcation dynamics and control mechanism of tri‐neuron bidirectional associative memory neural networks including delay	54
A study on fractional COVID‐19 disease model by using Hermite wavelets	47
Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework	46
New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second‐order spatio‐temporal dispersion via double Laplace transform method	46

Global dynamics and bifurcation analysis of a fractional‐order SEIR epidemic model with saturation incidence rate	46
Bifurcation insight for a fractional‐order stage‐structured predator–prey system incorporating mixed time delays	44
Novel extended mixed controller design for bifurcation control of fractional‐order Myc/E2F/miR‐17‐92 network model concerning delay	43
Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order	42
Solution of time‐fractional stochastic nonlinear sine‐Gordon equation via finite difference and meshfree techniques	41
A study of the fractal foam drainage model in a microgravity space	40
On Laplace transforms with respect to functions and their applications to fractional differential equations	39
Natural convection nanofluid flow with heat transfer analysis of carbon nanotubes–water nanofluid inside a vertical truncated wavy cone	38
Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives	38
An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law	37
Coupling immersed boundary and lattice Boltzmann method for modeling multi‐body interactions subjected to pulsatile flow	37
Optimum buffer stock during preventive maintenance in an imperfect production system	36
Classes of operators in fractional calculus: A case study	36
A study on Caudrey–Dodd–Gibbon–Sawada–Kotera partial differential equation	35
New soliton solutions of the 2D‐chiral nonlinear Schrodinger equation using two integration schemes	35
Analytical and semi‐analytical solutions for time‐fractional Cahn–Allen equation	35
On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals	34
Further investigation on bifurcation and their control of fractional‐order bidirectional associative memory neural networks involving four neurons and multiple delays	33
The soliton solutions for the (4 + 1)‐dimensional stochastic Fokas equation	33
Hybrid ferrofluid along with MWCNT for augmentation of thermal behavior of fluid during natural convection in a cavity	32
Quantum Ostrowski‐type integral inequalities for functions of two variables	32
Spatially inhomogeneous bifurcating periodic solutions induced by nonlocal competition in a predator–prey system with additional food	31
Natural convection heat transfer of water/Ag nanofluid inside an elliptical enclosure with different attack angles	31
Reliability modeling and analysis of mixture of exponential distributions using artificial neural network	31
Bifurcation analysis of a diffusive predator–prey model with prey social behavior and predator harvesting	30
Some novel inequalities for LR‐h‐convex interval‐valued functions by means of pseudo‐order relation	30
The simplest approach to solving the cubic nonlinear jerk oscillator with the non‐perturbative method	30
Pattern formations of a delayed diffusive predator–prey model with predator harvesting and prey social behavior	29
Bäcklund transformation and some different types of N‐soliton solutions to the (3 + 1)‐dimensional generalized nonlinear evolution equation for the shallow‐water waves	29
A new model for investigating the transmission of infectious diseases in a prey‐predator system using a non‐singular fractional derivative	28
Solitary and periodic wave solutions of the generalized fourth‐order Boussinesq equation via He's variational methods	28
An analytical integration Legendre polynomial series approach for Lamb waves in fractional order thermoelastic multilayered plates	28
A fractional‐order model of coronavirus disease 2019 (COVID‐19) with governmental action and individual reaction	27
Image restorations using a modified relaxed inertial technique for generalized split feasibility problems	27
Complex dynamics of a discrete‐time seasonally forced SIR epidemic model	27
Stability analysis of inertial neural networks: A case of almost anti‐periodic environment	27
Predictive potential of spectrum‐based topological descriptors for measuring theπ‐electronic energy of benzenoid hydrocarbons with applications to boron triangular and boronα‐nanotubes	26
On the multiple explicit exact solutions to the double‐chain DNA dynamical system	26
Memory kernel reconstruction problems in the integro‐differential equation of rigid heat conductor	26
New various multisoliton kink‐type solutions of the (1 + 1)‐dimensional Mikhailov–Novikov–Wang equation	26
Blending‐type approximation by Lupaş–Durrmeyer‐type operators involving Pólya distribution	25
Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method	25
A two‐dimensional diffusion coefficient determination problem for the time‐fractional equation	25
Analysis ofq‐fractional implicit boundary value problems having Stieltjes integral conditions	25
A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials	25
Kemeny's constant and global mean first passage time of random walks on octagonal cell network	25
Bifurcation analysis of an age‐structured prey–predator model with infection developed in prey	24
On new abundant solutions of the complex nonlinear Fokas–Lenells equation in optical fiber	24
Uncertainty principles for the quadratic‐phase Fourier transforms	24
Dynamics of exact soliton solutions in the double‐chain model of deoxyribonucleic acid	24

Improvements and generalizations of results concerning attraction‐repulsion chemotaxis models	24
Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a Caputo–Fabrizio derivative	24
Modeling of fractional‐order COVID‐19 epidemic model with quarantine and social distancing	23
On implicit fractional q‐difference equations: Analysis and stability	23
Numerical appraisal under the influence of the time dependent Maxwell fluid flow over a stretching sheet	23
Qualitative analysis of solutions for the p‐Laplacian hyperbolic equation with logarithmic nonlinearity	22
Marangoni‐bioconvectional flow of Reiner–Philippoff nanofluid with melting phenomenon and nonuniform heat source/sink in the presence of a swimming microorganisms	22
Nonexistence of global solutions of systems of time fractional differential equations posed on the Heisenberg group	22
Elastic magnetic curves of ferromagnetic and superparamagnetic models	22
Hybridized consequence of thermal and concentration convection on peristaltic transport of magneto Powell–Eyring nanofluids in inclined asymmetric channel	22
General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping, logarithmic nonlinearity and distributed delay terms	22
Synchronization of Markovian jump neural networks for sampled data control systems with additive delay components: Analysis of image encryption technique	21
Global asymptotic stability of neutral type fractional‐order memristor‐based neural networks with leakage term, discrete and distributed delays	21
Substantial, tempered, and shifted fractional derivatives: Three faces of a tetrahedron	21
New results on the asymptotic behavior of an SIS epidemiological model with quarantine strategy, stochastic transmission, and Lévy disturbance	21
Study on the explicit solutions of the Benney–Luke equation via the variational direct method	21
Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay	21
A fractional‐order mathematical model for analyzing the pandemic trend of COVID‐19	21
Some new inequalities for generalized h‐convex functions involving local fractional integral operators with Mittag‐Leffler kernel	21
District metered area design through multicriteria and multiobjective optimization	20
On the non‐differentiable exact solutions of the (2 + 1)‐dimensional local fractional breaking soliton equation on Cantor sets	20
Delay differential equations for the spatially resolved simulation of epidemics with specific application to COVID‐19	20
Further analysis on dynamical properties of fractional‐order bi‐directional associative memory neural networks involving double delays	20
Numerical approach to solve Caputo‐Fabrizio‐fractional model of corona pandemic with optimal control design and analysis	20
Effects of green innovation and advertisement in an imperfect production‐based competitive supply chain under two‐tier credit facility	20
Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels	20
A modified variable‐order fractional SIR model to predict the spread of COVID‐19 in India	20
Nečas–Lions lemma revisited: An Lp‐version of the generalized Korn inequality for incompatible tensor fields	20
Direct estimation of SIR model parameters through second‐order finite differences	20
Codimension two Lie invariant solutions of the modified Khokhlov–Zabolotskaya–Kuznetsov equation	20
A fixed point approach for tuning circuit problem in dislocated b‐metric spaces	19
The limiting behavior of the Riemann solution to the isentropic Euler system for logarithmic equation of state with a source term	19
Representation of solutions for linear fractional systems with pure delay and multiple delays	19
Concept and solution of digital twin based on a Stieltjes differential equation	19
Analytical wave solutions of the (2+1)‐dimensional Boiti–Leon–Pempinelli and Boiti–Leon–Manna–Pempinelli equations by mathematical methods	19
Mathematical modeling for peristalsis of couple stress nanofluid	19
Approximate periodic solutions to microelectromechanical system oscillator subject to magnetostatic excitation	19
On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2‐space	19
Numerical surfaces of fractional Zika virus model with diffusion effect of mosquito‐borne and sexually transmitted disease	19
Sparse representations of random signals	18
Discrete generalized fractional operators defined using h‐discrete Mittag‐Leffler kernels and applications to AB fractional difference systems	18
Double‐diffusive flow in a porous right‐angle trapezoidal enclosure with constant heat flux	18
On the parabolic‐elliptic Keller–Segel system with signal‐dependent motilities: A paradigm for global boundedness and steady states	18
Heat transfer analysis of MHD viscous fluid in a ciliated tube with entropy generation	18
Nonlinear dynamics of (2 + 1)‐dimensional Bogoyavlenskii–Schieff equation arising in plasma physics	18
Mathematical assessment of a fractional‐order vector–host disease model with the Caputo–Fabrizio derivative	17
Role of single slip assumption on the viscoelastic liquid subject to non‐integer differentiable operators	17
New abundant solitary wave structures for a variety of some nonlinear models of surface wave propagation with their geometric interpretations	17
Localized kernel‐based meshless method for pricing financial options underlying fractal transmission system	17
Modeling the influence of vaccination coverage on the dynamics of COVID‐19 pandemic with the effect of environmental contamination	17
Fractional viscoelastic models with Caputo generalized fractional derivative	17
Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction betweenk‐lump andk‐stripe soliton solutions for the generalized KP equation	17
Convective flow of a fractional second grade fluid containing different nanoparticles with Prabhakar fractional derivative subject to non‐uniform velocity at the boundary	17
Current survey of Clifford geometric algebra applications	17
Decompositions and linear superpositions of B‐type Kadomtsev‐Petviashvili equations	17
Stability and bifurcation analysis of discrete predator–prey model with nonlinear prey harvesting and prey refuge	17
Applying homotopy perturbation method to provide an analytical solution for Newtonian fluid flow on a porous flat plate	17
Some exact solutions of a variable coefficients fractional biological population model	17
On new abundant exact traveling wave solutions to the local fractional Gardner equation defined on Cantor sets	17
A fractional‐order generalized Taylor wavelet method for nonlinear fractional delay and nonlinear fractional pantograph differential equations	17
Uncertainty principles for the two‐sided offset quaternion linear canonical transform	17
Advance in compact structure‐preserving manner to the Rosenau–Kawahara model of shallow‐water wave	16
Reliability analysis of the uncertain fractional‐order dynamic system with state constraint	16
Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions	16
Nehari manifold and bifurcation for a ψ‐Hilfer fractional p‐Laplacian	16
Stability analysis of systems with time‐varying delay via a delay‐product‐type integral inequality	16
Applications of fractional calculus in equiaffine geometry: plane curves with fractional order	16
On dynamics of stochastic avian influenza model with asymptomatic carrier using spectral method	16
On tempered fractional calculus with respect to functions and the associated fractional differential equations	16
Exploring dynamical complexity of a cannibalistic eco‐epidemiological model with multiple time delay	16
Space–time Chebyshev spectral collocation method for nonlinear time‐fractional Burgers equations based on efficient basis functions	16
Enhanced magnetohydrodynamic thermal convection in a partially driven cavity packed with a nanofluid‐saturated porous medium	16
Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative	16
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 co	16
A case study of Covid‐19 epidemic in India via new generalised Caputo type fractional derivatives	16
Towards new general double integral transform and its applications to differential equations	16
Synchronization of quaternion‐valued coupled systems with time‐varying coupling via event‐triggered impulsive control	16
Partial topology identification of tempered fractional‐order complex networks via synchronization method	16
Linear barycentric rational collocation method for solving telegraph equation	16
Analysis of fractional COVID‐19 epidemic model under Caputo operator	16

A comparative analysis of two computational schemes for solving local fractional Laplace equations	15
Computational formulas and identities for new classes of Hermite‐based Milne–Thomson type polynomials: Analysis of generating functions with Euler's formula	15
Improving the performance of deep learning models using statistical features: The case study of COVID‐19 forecasting	15
Existence of solutions to a Kirchhoff ψ‐Hilfer fractional p‐Laplacian equations	15
Global strong solution to a thermodynamic compressible diffuse interface model with temperature‐dependent heat conductivity in 1D	15
Doubly degenerate diffuse interface models of surface diffusion	15
Lie symmetry analysis for complex soliton solutions of coupled complex short pulse equation	15
Stability analysis for fractional order implicit ψ‐Hilfer differential equations	15
Consensus of the Hegselmann–Krause opinion formation model with time delay	15
A numerical method for finding solution of the distributed‐order time‐fractional forced Korteweg–de Vries equation including the Caputo fractional derivative	15
Results on approximate controllability of fractional stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1 < r < 2	15
Selection of optimal software reliability growth models using an integrated entropy–Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) approach	15
On solutions of the Newell–Whitehead–Segel equation and Zeldovich equation	15
A study on fractional HIV‐AIDs transmission model with awareness effect	15
New traveling wave solutions for Gilson–Pickering equation in plasma via bifurcation analysis and direct method	15
Robust time‐fractional diffusion filtering for noise removal	15
An efficient computational approach for fractional Bratu's equation arising in electrospinning process	15
Besicovitch almost periodic solutions for fractional‐order quaternion‐valued neural networks with discrete and distributed delays	15
Radu–Miheţ method for UHML stability for a class of ξ‐Hilfer fractional differential equations in matrix valued fuzzy Banach spaces	14
Design and analysis of a high order computational technique for time‐fractional Black–Scholes model describing option pricing	14
A note on the existence of Hilfer fractional differential inclusions with almost sectorial operators	14
Solitons and other nonlinear waves for stochastic Schrödinger‐Hirota model using improved modified extended tanh‐function approach	14
Asymptotic approach to anti‐plane dynamic problem of asymmetric three‐layered composite plate	14
Analytical solution for temperature distribution in functionally graded cylindrical shells under convective cooling	14
On the decay of solutions of a viscoelastic wave equation with variable sources	14
Numerical simulation of the temperature field of the stadium building foundation in frozen areas based on the finite element method and proper orthogonal decomposition technique	14
Fractional dynamics of huanglongbing transmission within a citrus tree	14
A semi‐analytical approach for fractional order Boussinesq equation in a gradient unconfined aquifers	14
Weighted iterated radial composition operators from weighted Bergman–Orlicz spaces to weighted‐type spaces on the unit ball	14
Existence of infinitely many solutions for an anisotropic equation using genus theory	14
On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator	14
On Fourier–Bessel matrix transforms and applications	14
Modeling the cost of anti‐predator strategy in a predator‐prey system: The roles of indirect effect	14
Double‐diffusive convection on peristaltic flow of hyperbolic tangent nanofluid in non‐uniform channel with induced magnetic field	14
Some new results of nonlinear model arising in incompressible visco‐elastic Kelvin–Voigt fluid	14
Fractional type multivariate neural network operators	14
Dynamics of water conveying copper and alumina nanomaterials when viscous dissipation and thermal radiation are significant: Single‐phase model with multiple solutions	14
Effects of toxicity and zooplankton selectivity on plankton dynamics under seasonal patterns of viruses with time delay	14
Biorthogonal wavelets on the spectrum	14
Hybrid fully spectral linearized scheme for time‐fractional evolutionary equations	14
Modeling COVID‐19: Forecasting and analyzing the dynamics of the outbreaks in Hubei and Turkey	13
Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity	13
Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms	13
Implementation of an accurate method for the analysis and simulation of electrical R‐L circuits	13
Stability results of coupled wave models with locally memory in a past history framework via nonsmooth coefficients on the interface	13
New results for higher‐order Hadamard‐type fractional differential equations on the half‐line	13
Sum of some product‐type operators from Hardy spaces to weighted‐type spaces on the unit ball	13
Runge–Kutta pairs suited for SIR‐type epidemic models	13
Sixth‐order, P‐stable, Numerov‐type methods for use at moderate accuracies	13
Analysis of Stokes flow of micropolar fluid through a porous cylinder	13
Positive solutions for integral nonlinear boundary value problem in fractional Sobolev spaces	13
Analysis of two immiscible Newtonian and micropolar fluid flow through an inclined porous channel	13
Controllability analysis for impulsive integro‐differential equation via Atangana–Baleanu fractional derivative	13
On nonlinear coupled evolution system with nonlocal subsidiary conditions under fractal‐fractional order derivative	13
On a nonlocal problem for a Caputo time‐fractional pseudoparabolic equation	13
Numerical analysis of polio model: A mathematical approach to epidemiological model using derivative with Mittag–Leffler Kernel	13
A new fractional SICA model and numerical method for the transmission of HIV/AIDS	12
Optimal control strategies for the reliable and competitive mathematical analysis of Covid‐19 pandemic model	12
A discussion on boundary controllability of nonlocal impulsive neutral integrodifferential evolution equations	12
Numerical analysis of nonlinear variable fractional viscoelastic arch based on shifted Legendre polynomials	12
Solitary waves described by a high‐order system in optical fiber Bragg gratings with arbitrary refractive index	12
New models of fractional blood ethanol and two‐cell cubic autocatalator reaction equations	12
Vieta–Fibonacci wavelets: Application in solving fractional pantograph equations	12
The Chebyshev collocation method for a class of time fractional convection‐diffusion equation with variable coefficients	12
Investigating new positive, bounded, and convergent numerical solution for the nonlinear time‐dependent breast cancer dynamic competition model	12
Finite‐time disturbance observer‐based trajectory tracking control for quadrotor unmanned aerial vehicle with obstacle avoidance	12
A higher order stable numerical approximation for time‐fractional non‐linear Kuramoto–Sivashinsky equation based on quintic B‐‐spline	12
Nonoscillation of half‐linear dynamic equations on time scales	12
Non‐instantaneous impulsive fractional integro‐differential equations with proportional fractional derivatives with respect to another function	12
He's variational method for the time–space fractional nonlinear Drinfeld–Sokolov–Wilson system	12
Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants	12
Predator‐prey models with memory and kicks: Exact solution and discrete maps with memory	12
A pseudo‐operational collocation method for variable‐order time‐space fractional KdV–Burgers–Kuramoto equation	12
An effective analytical method for fractional Brusselator reaction–diffusion system	12
Fractional order mathematical modeling of novel corona virus (COVID‐19)	12
Abundant solitary wave structures of the higher dimensional Sakovich dynamical model	12
Nonlinear forced vibration analysis of spinning shaft‐disk assemblies under sliding bearing supports	12
On a multi‐point p$$ p $$‐Laplacian fractional differential equation with generalized fractional derivatives	12
Image denoising by a novel variable‐order total fractional variation model	12
An efficient numerical method based on exponential B‐spline basis functions for solving a class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions	11
Acoustic radiation through a flexible shell in a bifurcated circular waveguide	11
A family of Mexican hat wavelet transforms associated with an isometry in the heat equation	11
Numerical solutions of wavelet neural networks for fractional differential equations	11
Intrinsic square functions and commutators on Morrey‐Herz spaces with variable exponents	11
New families of Horadam numbers associated with finite operators and their applications	11
On the mean‐field limit for the consensus‐based optimization	11
A dynamic model for the COVID‐19 with direct and indirect transmission pathways	11
A novel comprehensive analysis on generalized harmonically ψ‐convex with respect to Raina's function on fractal set with applications	11
Ulam–Hyers stability of pantograph fractional stochastic differential equations	11
Modeling and simulation of fractional order COVID‐19 model with quarantined‐isolated people	11
An accelerated projection‐based parallel hybrid algorithm for fixed point and split null point problems in Hilbert spaces	11
Enhanced fractional adaptive processing paradigm for power signal estimation	11
Nonlocal electromagnetic instability of carbon nanotube‐based nano‐sensor	11
State feedback stabilization of generic logic systems via Ledley antecedence solution	11
Quadratic‐phase wavelet transform with applications to generalized differential equations	11