Mathematical Methods in the Applied Sciences

Article	Citations
Using decomposition of the nonlinear operator for solving non‐differentiable problems	268
A high‐order predictor–corrector method for initial value problems with fractional derivative involving Mittag–Leffler kernel	183
Existence and uniqueness of solutions of differential equations with respect to non‐additive measures	129
Solvability of the boundary‐value problem for a mixed equation involving hyper‐Bessel fractional differential operator and bi‐ordinal Hilfer fractional derivative	118
Phragmén–Lindelöf alternative results in time‐dependent double‐diffusive Darcy plane flow	83
Issue Information	78
Preface to a thematic special issue of methods of mathematics and fractional calculus	74
	64
Stability of the 3D Boussinesq equations with partial dissipation near the hydrostatic balance	62
Renormalization group method for solving initial value problem of slow‐fast system	55
Necessary and sufficient conditions for mean‐square bounded consensus of multiagent systems with additive noise	54
Three‐dimensional generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain	51
Propagation of waves in a hydroelastic shell‐viscous liquid system, in the presence of gas bubbles	50
Nonlinear lattices from the physics of ecosystems: The Lefever–Lejeune nonlinear lattice in ℤ2	47
Multiplicity and concentration of nontrivial solutions for Kirchhoff–Schrödinger–Poisson system with steep potential well	47
Asymptotic behavior of the two‐phase flow around the planar Couette flow in three‐dimensional space	44
Riemann‐Hilbert approach for the integrable discrete Hirota equation with bounded boundary conditions in the presence of a discrete spectrum	43
A nonlocal Kirchhoff diffusion problem with singular potential and logarithmic nonlinearity	43
American barrier swaption pricing problem of exponential Ornstein–Uhlenbeck model in uncertain financial market	42
The multigrid discretization of mixed discontinuous Galerkin method for the biharmonic eigenvalue problem	41
Global Well‐Posedness and Large‐Time Behavior for Inhomogeneous Incompressible Navier–Stokes System in the Exterior of a Cylinder	41
A new exploration on the approximate controllability results for Hilfer fractional differential inclusions of order 1<μ<2 with Clarke's subdifferential type	41
Retracted: Dissipative‐based synchronization of Markovian jumping complex dynamical networks with additive time‐varying delays, reaction‐diffusion terms, uncertainties, and sampled‐data control	40
The σ‐evolution equations with friction and unbounded coefficients	38
Existence of coupled optical vortex solitons propagating in a quadratic nonlinear medium	37

Nonlinear evolution dam problems in an unbounded domain	36
Synchronization control of quaternion‐valued inertial memristor‐based neural networks via adaptive method	35
Analysis of global behavior in an age‐structured epidemic model with nonlocal dispersal and distributed delay	34
Time‐optimal feedback control of nonlocal Hilfer fractional state‐dependent delay inclusion with Clarke's subdifferential	34
On a m(x)$$ m(x) $$‐polyharmonic Kirchhoff problem without any growth near 0 and Ambrosetti–Rabinowitz conditions	33
Retention profiles of multiparticle filtration in porous media	33
Pullback exponential attractors for some non‐autonomous dissipative dynamical systems	33
Parameter‐robust higher‐order time‐accurate computational method for singularly perturbed time‐dependent semilinear convection‐diffusion PDEs with discontinuous data	32
Comparison of approximation methods for bending of finite and infinite elastic plates: The traction boundary value problem	31
An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces	31
Torus doubling route to chaos and chaos eradication in delayed discrete‐time predator–prey models	31
Dependence on parameters for nonlinear equations—Abstract principles and applications	31
RETRACTED: Corrigendum to a fractional sideways problem in a one‐dimensional finite‐slab with deterministic and random interior perturbed data	31
A modified strain gradient beam constraint model	31
Stability for the 2D magnetic Bénard system with partial dissipation and thermal damping near an equilibrium	30
Stationary Distribution and Probability Density for a Stochastic Crime Model	30
Doubly Exponential Growth and Decay for a Semilinear Heat Equation With Logarithmic Nonlinearity	30
New Wigner Distribution and Ambiguity Function for the Offset Fractional Fourier Transform and Their Applications	29
New Results for Periodic Discrete Nonlinear SchröDinger Equations	28
Concentration and Cavitation in the Riemann Solutions for the Triple‐Pressure Euler Equations Involving a Source Term	28
Effective Dynamics for a Class of Stochastic Parabolic Equation Driven by LéVy Noise With a Fast Oscillation	28
Scattering Limit of the Diffusion Approximate Model in Radiation Hydrodynamics	27
Geometric and Topological Properties of Fractal Networks	27
Construction of Normal‐Regular Solutions of Inhomogeneous System of Partial Differential Equations of Second Order	27
Global Classical Solutions for a Chemotaxis System of Attraction–Repulsion With Singular Sensitivity	26
Parameter Identification Problem for the Abstract State‐Dependent Delay Differential Equation	26
Issue Information	26
The geometrical and physical interpretation of fractional order derivatives for a general class of functions	25
Blowing‐Up Solution of a System of Fractional Differential Equations With Variable Order	25
A machine learning recommender system based on collaborative filtering using Gaussian mixture model clustering	25
Stability analysis of inertial neural networks: A case of almost anti‐periodic environment	25
Analytical and numerical solutions to ergodic control problems arising in environmental management	25
Fractional Newton‐type integral inequalities by means of various function classes	25
Study of weak solutions to a nonlinear fourth‐order parabolic equation with boundary degeneracy	24
Dynamical properties in an SVEIR epidemic model with age‐dependent vaccination, latency, infection, and relapse	24
Lie symmetries, Painlevé analysis, and global dynamics for the temporal equation of radiating stars	24
Issue Information	24
Analyzing the impact of flexible shells and sound absorbent lining on acoustic wave behavior in ducts	24
The impact of demography in a model of malaria with transmission‐blocking drugs	23
Editorial for special issue “IECMSA 2020 – International Eurasian Conference on Mathematical Sciences and Applications”	22
Mathematical analysis of stability and Hopf bifurcation in a delayed HIV infection model with saturated immune response	22
Bifurcation, geometric constraint, chaos, and its control in a railway wheelset system	22
Stability of steady‐state solutions of a class of Keller–Segel models with mixed boundary conditions	22
Issue Information	22
General energy decay estimates for a variable coefficient viscoelastic semilinear wave equation with logarithmic source term and acoustic boundary conditions	22
Global weak solutions to a fully parabolic two‐species chemotaxis system with fast p‐Laplacian diffusion	22
On coupled nonlinear evolution system of fractional order with a proportional delay	21
A multi‐group SEIRI epidemic model with logistic population growth under discrete Markov switching: Extinction, persistence, and positive recurrence	21
New approach for propagated light with optical solitons by optical fiber in pseudohyperbolic space ℍ02	21
Issue Information	21

	21
	20
The one‐dimensional model for an elliptic equation in a perforated thin anisotropic heterogeneous three‐dimensional structure	20
The relationship between the conservation laws and multi‐Hamiltonian structures of the Kundu equation	20
Mathematical analysis and efficient finite element approximation for variable‐order time‐fractional reaction–diffusion equation with nonsingular kernel	20
Exponential stabilization of the transmission wave equation with dynamical boundary conditions and a delay term	20
Global existence and finite time blow‐up for the heat flow of H‐system with constant mean curvature	20
Global weak solution to a generic reaction‐diffusion nonlinear parabolic system	19
Algebraic methods for equality constrained least squares problems in commutative quaternionic theory	19
Dynamical study of nutrient‐phytoplankton model with toxicity: Effect of diffusion and time delay	19
Notes on η‐Einstein solitons on para‐Kenmotsu manifolds	19
A periodic averaging method for impulsive stochastic age‐structured population model in a polluted environment	19
Multiple solutions for asymptotically q‐linear (p, q)‐Laplacian problems	19
Uniform convergence of Fourier series via deferred Cesàro mean and its applications	18
	18
Some results concerning Riesz–Bessel transforms of high order	18
Dealing with variability in ecological modelling: An analysis of a random non‐autonomous logistic population model	18
Modeling the effect of Fangcang shelter hospitals on the control of COVID‐19 epidemic	18
Plankton growth dynamic driven by plankton body size in deterministic and stochastic environments	18
Lie group approach for constructing all reciprocal transformations: The two‐dimensional stationary gas dynamics equations	17
Polynomial stabilizations for wave equations with positive definite kernels and boundary frictional damping	17
Operators based on Pólya distribution and finite differences	17
Stability analysis based on a control adjuster for switched neural networks by trajectory similarity	17
Global well‐posedness of the 3D primitive equations with only horizontal eddy diffusivity and delays in both convective and heat source terms	17
An exercise of admiration: Jean Mawhin at the 80th Anniversary	17
Non‐fragile control for dynamic event‐triggered networked systems with randomly occurring nonlinearities	17
Integrated pest management for Jatropha Carcus plant: An impulsive control approach	17
Convergence of numerical solution for the inhomogeneous Landau‐Lifshitz equations with Gilbert damping	17
State‐dependent switching stabilization of third‐order switched linear systems consisting of two subsystems with fully positive real part characteristic roots	17
Comparison of machine learning techniques for precision in measurement of glucose level in artificial pancreas	17
Minimal twist accretive growth with spatial curve evolution	17
Modeling Hybrid Crossover Dynamics of Immuno‐Chemotherapy and Gene Therapy: A Numerical Approach	16
A linear quadratic tracking problem for impulsive controlled stochastic systems: The infinite horizon time case	16
Some remarks on the Gronwall integral inequality	16
Elementary Wave Interactions in Two‐Layer Blood Flow Model	16
The analysis of traveling wave structures and chaos of the cubic–quartic perturbed Biswas–Milovic equation with Kudryashov's nonlinear form and two generalized nonlocal laws	16
Deterministic and stochastic analysis of a modified Leslie–Gower predator–prey model with Holling‐type II functional response	16
Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity	16
A note on energy and cross‐helicity conservation in the ideal magnetohydrodynamic equations	16
Sinc method in spectrum completion and inverse Sturm–Liouville problems	16
Value reducts and bireducts: A comparative study	16
Fractional modeling and optimal control strategies for mutated COVID‐19 pandemic	16
Dynamics of an age‐structured multiscale hepatitis C virus model with two infection modes and antibody immune response	16
Approximation of operators on real line	15
Pattern dynamics in a water–vegetation model with cross‐diffusion and nonlocal delay	15
Stability analysis and error estimation based on difference spectral approximation for Allen–Cahn equation in a circular domain	15
Nonexistence for a system of time‐fractional diffusion equations in an exterior domain	15
On the Dimensional Invariance of Graphs of Fractal Functions Under Horizontal Nonlinear Variation	15
Lieb's and Lions' type theorems on Heisenberg group and applications	15
A new approach to the directional derivative of fractional order	15
Uniform exponential stability approximations of semi‐discretization schemes for two hybrid systems	15
Two geometrical invariants for three‐dimensional systems	15
Well‐posedness and error analysis of wave equations with Markovian switching	15
A blow‐up criterion to a Keller–Segel system coupled with the Euler fluid	15
Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks	15
On a class of generalized capillarity system involving fractional ψ#x02010;Hilfer derivative with p(·)‐Laplacian operator	15
Traveling front in a diffusive predator–prey model with Beddington–DeAngelis functional response	15
Modeling the impact of screening awareness and vaccination on human papilloma virus transmission	15
Mittag‐Leffler Functions as Eigenfunctions of the Hilbert Transform	15
Pullback D$$ \mathcal{D} $$‐attractors for doubly nonlinear parabolic equations	15
Global existence and blowup of solutions for nonlinear Love equation	15
Singular curve and critical curve for doubly nonlinear Lane–Emden type equations	14
Hyperbolic inverse mean curvature flow with forced term: Evolution of plane curves	14
Pathwise methods for the integration of a stochastic SVIR model	14
New soliton solutions of the time fractional Drinfeld–Sokolov–Satsuma–Hirota system in dispersive water waves	14
Local and global robustness at steady state	14
Numerical study of the coupled KGS equations using parametric spline function	14
Regularity of the semigroups associated with some damped coupled elastic systems II: A nondegenerate fractional damping case	14
Stable transition layer for the Allen–Cahn equation when the spatial inhomogeneity vanishes on a nonsmooth hypersurface in ℝn	14
Analytical study of a model of fluid flow through a channel with flexible walls	14
Second‐order scalar auxiliary variable Fourier‐spectral method for a liquid thin film coarsening model	14
Bifurcation and global stability of a discrete prey–predator model with saturated prey refuge	14
Corrigendum to “Solutions of Heun's general equation and elliptic Darboux equation” [Math Meth Appl Sci 44 (8) 7165–7206 (2021). https://doi.org/10.1002/mma.7253]	14
High‐order long‐time approximation of (N + 1)‐level systems with near‐resonance control	14
A dengue fever model with free boundary incorporating the time‐periodicity and spatial‐heterogeneity	14
Estimate of largest velocities for Vlasov–Poisson plasma with radiation damping	14
Delay dynamic equations on isolated time scales and the relevance of one‐periodic coefficients	14
Issue Information	14
Issue Information	14
Low regularity for the Kawahara equation on the half‐line	14

Traveling waves for a diffusive virus infection model with humoral immunity, cell‐to‐cell transmission, and nonlinear incidence	13
Oscillation of fourth‐order neutral differential equations with damping term	13
On a nonlinear fractional Rayleigh–Stokes equation associated with nonlocal conditions	13
On the multicomponent weakly interacted generalized (3 + 1)‐dimensional Kadomtsev–Petviashvili equation	13
Analysis of a model for the dynamics of microswimmer suspensions	13
Locations of spikes for linearly coupled Schrödinger systems	13
An inertial subgradient extragradient method of variational inequality problems involving quasi‐nonexpansive operators with applications	13
Issue Information	13
The minimum entropy principle for a two‐phase flow model	13
Transmission dynamics of visceral leishmaniasis with PKDL and periodic delays	13
Temperature and velocity profiles along a singular interface between two immiscible fluids	13
Stability properties of a crack inverse problem in half space	13
The spectral analysis of a system of first‐order equations with dissipative boundary conditions	13
Global weighted regularity estimates for higher‐order elliptic and parabolic systems	13
	12
	12
Generalization of Kim's estimates in terms of the trace of divergence‐free symmetric tensor	12
Comment on the paper “A 3D‐2D asymptotic analysis of viscoelastic problem with nonlinear dissipative and source terms, Mohamed Dilmi, Mourad Dilmi, Hamid Benseridi, Mathematical Methods in the Applied	12
Higher dimensional Hermite–Hadamard inequality for semiconvex functions of rate (k1, k2, … , kn) on the coordinates and optimal mass transp	12
Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator	12
Fixed point results for Suzuki‐type Σ‐contractions via simulation functions in modular b‐metric spaces	12
Agitation of SARS‐CoV‐2 disease (COVID‐19) using ABC fractional‐order modified SEIR model	12
A generalization of Euler's formula in Clifford algebras	12
Diffusion‐driven codimension‐2 Turing–Hopf bifurcation in the general Brusselator model	12
Ground states for nonlinear fractional Schrödinger–Poisson systems with general convolution nonlinearities	12
Intrinsic square functions and commutators on Morrey‐Herz spaces with variable exponents	12
Mathematical analysis of autonomous and non‐autonomous age‐structured reaction‐diffusion‐advection population model	12
Competition of glass and crystal: Phase‐field model	12
Ground‐state solutions of Schrödinger‐type equation with magnetic field	12
On some inequalities involving the function and its fractional derivative	12
Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors	12
Least‐squares formulations for Stokes equations with non‐standard boundary conditions—A unified approach	12
Modified marker and cell schemes for Stokes equations with Dirichlet boundary condition	12
Unraveling forward and backward source problems for a nonlocal integrodifferential equation: A journey through operational calculus for Dzherbashian‐Nersesian operator	12
Micro‐to‐macro interactions in complex bodies: Wavelet‐based post‐processing detection	11
Regularity criteria for 3D shear‐thinning fluids in terms of two components of vorticity	11
Abundant interaction solutions of the integrable (1 + 1)‐dimensional coupled KdV system	11
Comment on “Bipolar fuzzy relation equations systems based on the product t‐norm”	11
Mittag–Leffler collocation optimization method for studying a physical problem in fluid flow with fractional derivatives	11
A method to find approximate solutions of first‐order systems of nonlinear ordinary equations	11
	11
Sharp lifespan estimates for subcritical generalized semilinear Tricomi equations	11
An eco‐epidemiological model with general functional response of predator to prey	11
Effect of unfavorable regions on the spreading solution in a diffusion equation	11
	11
Exact solutions and finite time stability for higher fractional‐order differential equations with pure delay	11
A globally convergent numerical method with fourth order for computing the matrix sign	11
Terminal value problem for Riemann‐Liouville fractional differential equation in the variable exponent Lebesgue space Lp(.)$$ {L}^{p(.)} $$	11
Stability analysis of discretized structure systems based on the complex network with dynamics of time‐varying stiffness	11
Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term	11
Note on a difference equation and some of its relatives	11
The impact of nonlinear perturbation to the dynamics of HIV model	11
Periodic solutions and the avoidance of pull‐in instability in nonautonomous microelectromechanical systems	11
Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system	11
Nonclassical perturbation approach to a nonlinear multiparameter eigenvalue problem arising in electromagnetics	11
Containment control analysis of delayed nonlinear fractional‐order multi‐agent systems	11
Some families of the general Mathieu‐type series with associated properties and functional inequalities	11
Identification of source terms in wave equation with dynamic boundary conditions	11
Positive solutions for integral nonlinear boundary value problem in fractional Sobolev spaces	11
Controlling centrality: The inverse ranking problem for spectral centralities of complex networks	11
Stability scenarios and period‐doubling onset of chaos in a population model with delayed harvesting	11
Issue Information	11
A novel approach of boundary preservative apparel detection and classification of fashion images using deep learning	11
Sampling error of continuous periodic data and its application for geodesy	11
Analysis of coupled system of q‐fractional Langevin differential equations with q‐fractional integral conditions	11
Rational and semi‐rational solutions for a (3 + 1)‐dimensional generalized KP–Boussinesq equation in shallow water wave	11
Robust passivity analysis for uncertain stochastic switched inertial neural networks with time‐varying delay under a new state‐dependent switching law	10
Boundedness and non‐existence of traveling wave solutions for a four‐compartment lattice epidemic system with exposed class and standard incidence	10
Uncertainty principles for windowed coupled fractional Fourier transform	10
Artificial neural networks for solving elliptic differential equations with boundary layer	10
Modeling and analysis of nonlinear tumor‐immune interaction under chemotherapy and radiotherapy	10
Multiplicity of nontrivial solutions for p‐Kirchhoff type equation with Neumann boundary conditions	10
Modified homotopy perturbation approach for the system of fractional partial differential equations: A utility of fractional Wronskian	10
On geometric interpretations of split quaternions	10
On the Riemann problem and interaction of elementary waves for two‐layered blood flow model through arteries	10
Reconstruction of a time‐dependent coefficient in nonlinear Klein–Gordon equation using Bernstein spectral method	10
Dissipative structures for the system of Moore–Gibson–Thompson thermoelasticity in the whole space	10
On the limit of a two‐phase flow problem in thin porous media domains of Brinkman type	10
Special Issue “CMMSE 2020” in Mathematical Methods in the Applied Sciences (MMA)	10
Some new results of nonlinear model arising in incompressible visco‐elastic Kelvin–Voigt fluid	10
Kalman reduced form and pole placement by state feedback for multi‐input linear systems over Hermite rings	10
Some integral inequalities via new generalized harmonically convexity	10
Conservation laws and exact series solution of fractional‐order Hirota–Satsuma‐coupled Korteveg–de Vries system by symmetry analysis	10
Atangana–Baleanu–Caputo differential equations with mixed delay terms and integral boundary conditions	10
Global attractors for porous elastic system with memory and nonlinear frictional damping	10
Issue Information	10
Ergodic periodic measure of a stochastic budworm growth model with periodic coefficients	10
Issue Information	10
Remarks on the regularity for the solutions to liquid crystal flows	10
Extinction and strong persistence in the Beddington–DeAngelis predator–prey random model	10
Existence and uniqueness of periodic solution to second‐order impulsive differential equations	10
Analysis of large time asymptotics of the fourth‐order parabolic system involving variable coefficients and mixed nonlinearities	10
The steady states of isotone electric systems	10
The extreme solutions for a σ‐Hessian equation with a nonlinear operator	10
Uniqueness in phaseless inverse electromagnetic scattering problem with known superposition of incident electric dipoles	10