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The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published by monthly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.
JAAC is indexed in SCIE with Impact Factor 1.116 (2018).
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- Interactions of delta shock waves for a class of nonstrictly hyperbolic system of conservation laws
- Entire solutions of delay differential equations of Malmquist type
- Spatiotemporal dynamics in a predator-prey model with a functional response increasing in both predator and prey densities
- GLOBAL ANALYSIS OF THE SHADOW GIERER-MEINHARDT SYSTEM WITH GENERAL LINEAR BOUNDARY CONDITIONS IN A RANDOM ENVIRONMENT
- Further discussion on Kato's chaos in set-valued discrete systems
- Random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations on unbounded domains
- A BASIS OF HIERARCHY OF GENERALIZED SYMMETRIES AND THEIR CONSERVATION LAWS FOR THE (3+1)-DIMENSIONAL DIFFUSION EQUATION
- A Block-by-block method for the Impulsive Fractional Ordinary Differential Equations
- Impact of noise effects on the phytoplankton-zooplankton dynamics
- Global dynamics of a Filippov plant disease model with an economic threshold of infected-susceptible ratio
- Stability Analysis and Approximate Solution of SIR Epidemic Model with Crowley-Martin type Functional Response and Holling type-II Treatment Rate by Using Homotopy Analysis Method
- Mixed monotone iterative technique for Hilfer fractional evolution equations with nonlocal conditions
- Second-order Normal Forms for n-dimensional Systems with a Nilpotent Point
- A New Third Order Exponentially Fitted Discretization for the Solution of Non-linear Two Point Boundary Value Problems on a Graded Mesh
- A TWO-STEP MODULUS-BASED MULTISPLITTING ITERATION METHOD FOR THE NONLINEAR COMPLEMENTARITY PROBLEM
- On a Reverse Hardy-Littlewood-Polya’s Inequality
- Polynomial and rational wave solutions of Kudryashov-Sinelshchikov equation and numerical simulations for its dynamic motions
- Infinitely many solutions for a nonlocal problems
- Limit cycle bifurcations in the in-plane galloping of iced transmission line
- Global analysis for an epidemical model of vector-borne plant viruses with disease resistance and nonlinear incidence
- Receptor-Mediated Endocytosis Modeling of Antibody-Drug Conjugates to the Released Payload within the Intracellular Space Considering Target Antigen Expression Levels
- On the eigenvalues of second-order boundary-value problems
- Infinitely many low- and high-energy solutions for a class of elliptic equations with variable exponent
- Global stability of autonomous and nonautonomous hepatitis B virus models in patchy environment
- Lie symmetry analysis to Fisher’s equation with time fractional order
- Generalized p(x)-elliptic system with non physical data
- Solvability for Riemann-Stieltjes integral boundary value problems of Bagley-Torvik equations at resonance
- An inertial shrinking projection algorithm for split common fixed point problems
- Third order boundary value problem with finite spectrum on time scales
- Exponential attractor for Hindmarsh-Rose equations in neurodynamics
- Accelerated projection-based forward-backward splitting algorithms for monotone inclusion problems
- Internal layers for a quasi-linear singularly perturbed delay differential equation
- Equivalence of Initialized Riemann-Liouville and Caputo Derivatives
- Fractional Hermite Degenerate Kernel Method for Linear Fredholm Integral Equations involving Endpoint Singularities
- Linear estimate for the number of zeros for Abelian integrals in a kind quadratic reversible center of genus one
- Modeling and Dynamics of HIV Transmission among High-Risk Groups in Guangzhou City, China
- Analysis of a DG method for singularly perturbed convection-diffusion problems
- Remarks on the asymptotic behavior of scalar auxiliary variable (SAV) schemes for gradient-like flows
- Weak Galerkin finite element methods combined with Crank-Nicolson scheme for parabolic interface problems
- On the number of limit cycles by perturbing a piecewise smooth Hamilton system with two straight lines of separation
- Bifurcation analysis and exact traveling wave solutions for a generic two-dimensional sine-Gordon equation in nonlinear optics
- Attractor for the Non-autonomous long wave-short wave resonance interaction equation with damping
- Transverse homoclinic orbit bifurcated from a homoclinic manifold by the higher order melnikov integrals
- The boundedness for solutions of certain two-dimensional fractional differential systems with delay
- Existence and concentration result for Kirchhoff equations with critical exponent and Hartree nonlinearity
- Wong-Zakai approximations and attractors for fractional stochastic reaction-diffusion equations on unbounded domains
- Compact Finite Difference Schemes of The Time Fractional Black-Scholes Model
- Existence and multiplicity of solutions for p(x)-Laplacian differential inclusions involving critical growth
- Invariant Measure and Statistical solutions for non-autonomous discrete Klein-Gordon-Schr\"odinger-type equations
- Quadratic harvesting dominated optimal strategy for a stochastic single-species model
- Limit Point, Strong Limit Point and Dirichlet Conditions for Discrete Hamiltonian Systems
- Positive periodic solution for second-order nonlinear differential equation with singularity of attractive type
- Dynamical properties of a stochastic predator-prey model with functional response
- Qualitative Analysis of a Fourth Order Difference Equation
- Modelling the dynamics of avian influenza with nonlinear recovery rate and psychological effect
- Analytical results for quadratic integral equations with phase-lag term
- Rough Convergence of Double Sequences of Fuzzy Numbers
- On ψ-projective expansion, quasi partial metrics aggregation with an application
- Uniqueness and Existence of solutions for a singular system with nonlocal operator via perturbation method
- Dynamics of an impulsive stochastic SIR epidemic model with saturated incidence rate
- Lump solutions to the generalized (2+1)-dimensional B-type Kadomtsev-Petviashvili equation
- Existence of positive solutions to a boundary value problem for a delayed singular high order fractional differential equation with sign-changing nonlinearity
- Low-rank And Sparse Matrix Recovery From Noisy Observations via 3-block ADMM Algorithm
- An iterative algorithm for solving a class of generalized coupled Sylvester-transpose matrix equations over bisymmetric or skew-anti-symmetric matrices
- Statistical Analysis of Two-parameter Generalized Birnbaum-Saunders Cauchy Distribution
- Inverses and eigenpairs of tridiagonal Toeplitz matrix with opposite-bordered rows
- Discontinuous Sturm-Liouville problems involving an abstract linear operator
- Dynamics of a stochastic chemostat competition model with plasmid-bearing and plasmid-free organisms
- DYNAMICS OF A VIRAL INFECTIOLOGY UNDER TREATMENT
- Modulation instability and optical solitons of Radhakrishnan-Kundu-Lakshmanan model
- On a p-adic Hilbert-type integral operator and its applications
- Lumps and their interaction solutions of a (2+1)-dimensional generalized potential Kadomtsev-Petviashvili equation
- Interaction solutions and abundant exact solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics
- Global relaxed modulus-based synchronous block multisplitting multi-parameters methods for linear complementarity problems
- Finite iterative algorithm for the complex generalized Sylvester tensor equations
- Existence of solutions for a fractional advection-dispersion equation with impulsive effects via variational approach
- ANALYSIS OF THE TIME FRACTIONAL NONLINEAR DIFFUSION EQUATION FROM DIFFUSION PROCESS
- Existence and Multiplicity of solutions for a quasilinear elliptic system on unbounded domains involving nonlinear boundary conditions
- Approximate Controllability of Second-order Semilinear Evolution Systems with State-Dependent Infinite Delay
- A NEW ITERATIVE METHOD FOR SOLVING SPLIT FEASIBILITY PROBLEM
- Krylov subspace methods of Hessenberg based for algebraic Riccati equation
- Computation on the Topological Indices of Hyaluronic Acid
- Unitarily invariant norm and Q-norm estimations for the Moore--Penrose inverse of multiplicative perturbations of matrices
- The reduced order method for solving the linear complementarity problem with an M-matrix
- Equivalent Property of a More Accurate Half-Discrete Hilbert’s Inequality
- Fractional order nonlinear mixed coupled systems with coupled integro-differential boundary conditions
- Positive solutions for resonant and non-resonant nonlinear third-order multi-point boundary value problems
- Saedeh Foadian, Reza Pourgholi, S. Hashem Tabasi and Hamed Zeidabadi
- Solving an inverse problem for a generalized time-delayed Burgers-Fisher equation by Haar wavelet method
2020, Vol.10, (2):391-410, DOI:10.11948/20170028
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- Jingqun Wang and Lixin Tian
- Boundary controllability for the time-fractional nonlinear Korteweg-de Vries (KdV) equation
2020, Vol.10, (2):411-426, DOI:10.11948/20180018
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- Chun Li, Lin Li and He Yang
- Infinitely many solutions for non-autonomous second-order systems with impulsive effects
2020, Vol.10, (2):427-441, DOI:10.11948/20180131
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- Sohrab Bazm and Alireza Hosseini
- The alternative Legendre Tau method for solving nonlinear multi-order fractional differential equations
2020, Vol.10, (2):442-456, DOI:10.11948/20180134
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- Manna Huang, Chengjun Guo and Junming Liu
- The existence of periodic solutions for three-order neutral differential equations
2020, Vol.10, (2):457-473, DOI:10.11948/20180139
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- Huiqin Zhang, Yan Mo and Zhibo Wang
- A high order difference method for fractional sub-diffusion equations with the spatially variable coefficients under periodic boundary conditions
2020, Vol.10, (2):474-485, DOI:10.11948/20180150
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- Mengrui Xu, Shurong Sun and Zhenlai Han
- Solvability for impulsive fractional Langevin equation
2020, Vol.10, (2):486-494, DOI:10.11948/20180170
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- Haide Gou and Yongxiang Li
- The method of lower and upper solutions for damped elastic systems in Banach spaces
2020, Vol.10, (2):495-513, DOI:10.11948/20180267
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- Fan Yang, Ni Wang and Xiao-Xiao Li
- Landweber iterative method for an inverse source problem of time-fractional diffusion-wave equation on spherically symmetric domain
2020, Vol.10, (2):514-529, DOI:10.11948/20180279
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- Zuomao Yan and Xiumei Jia
- Stepanov-like pseudo almost periodic solutions for impulsive perturbed partial stochastic differential equations and its optimal control
2020, Vol.10, (2):530-568, DOI:10.11948/20180304
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- Carmen Ionescu, Radu Constantinescu and Mihail Stoicescu
- Functional expansions for finding traveling wave solutions
2020, Vol.10, (2):569-583, DOI:10.11948/20180314
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- Hasib Khan, Cemil Tunc and Aziz Khan
- Stability results and existence theorems for nonlinear delay-fractional differential equations with $\varphi^*_p$-operator
2020, Vol.10, (2):584-597, DOI:10.11948/20180322
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- Xue-yong Zhou, Xiang-yun Shi and Jing-an Cui
- Dynamic behavior of a delay cholera model with constant infectious period
2020, Vol.10, (2):598-623, DOI:10.11948/20190006
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- Cung The Anh, Nguyen Thi Minh Toai and Vu Manh Toi
- Upper bounds on the number of determining modes, nodes, and volume elements for a 3D magenetohydrodynamic-$\alpha$ model
2020, Vol.10, (2):624-648, DOI:10.11948/20190043
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- Shouguo Zhu and Gang Li
- Approximation of fractional resolvents and applications to time optimal control problems
2020, Vol.10, (2):649-666, DOI:10.11948/20190056
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- Shaoli Wang and Fei Xu
- Analysis of an HIV model with post-treatment control
2020, Vol.10, (2):667-685, DOI:10.11948/20190081
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- Kejun Zhuang, Wenqian You and Gao Jia
- Spatiotemporal complexity of a diffusive planktonic system with prey-taxis and toxic effects
2020, Vol.10, (2):686-712, DOI:10.11948/20190094
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- Linke Ma, Dan Liu and Mingliang Fang
- Uniqueness of meromorphic functions concerning sharing two small functions with their derivatives
2020, Vol.10, (2):713-728, DOI:10.11948/20190115
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- Zhou-Zheng Kang and Tie-Cheng Xia
- Multiwave solutions to the negative-order KdV equation in (3+1)-dimensions
2020, Vol.10, (2):729-739, DOI:10.11948/20190128
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- Dongping Li, Fangqi Chen and Yukun An
- Positive solutions for a p-Laplacian type system of impulsive fractional boundary value problem
2020, Vol.10, (2):740-759, DOI:10.11948/20190131
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- Suyun Wang, Yanhong Zhang and Ruyun Ma
- Three radial positive solutions for semilinear elliptic problems in $\mathbb{R}^N}
2020, Vol.10, (2):760-770, DOI:10.11948/20190145
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- Yuan Wu and Xiaoping Yuan
- On the existence of full dimensional KAM torus for fractional nonlinear Schrodinger equation
2020, Vol.10, (2):771-794, DOI:10.11948/20190292
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- Jinsen Zhuang and Yan Zhou
- Bifurcations and exact traveling wave solutions of the equivalent complex short-pulse equations
2020, Vol.10, (2):795-815, DOI:10.11948/20190408
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- Maoan Han and Shanshan Liu
- Further studies on limit cycle bifurcations for piecewise smooth near-Hamiltonian systems with multiple parameters
2020, Vol.10, (2):816-829, DOI:10.11948/20200003
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[- Jie Song, Mi Hu, Yuzhen Bai and Yonghui Xia
- Dynamic analysis of a non-autonomous ratio-dependent predator-prey model with additional food
2018, Vol.8, (6):1893-1909, DOI:10.11948/2018.1893
- Li-Guo Yuan and Zeeshan Alam
- An optimal homotopy analysis method based on particle swarm optimization: application to fractional-order differential equation
2016, Vol.6, (1):103-118, DOI:10.11948/2016009
- Yanling Guo and Guoyuan Qi
- A topological horseshoe in a fractional-order Qi four-wing chaotic system
2015, Vol.5, (2):168-176, DOI:10.11948/2015015
- Zhiqiang Shao and Meixiang Huang
- Interactions of delta shock waves for the Aw-Rascle traffic model with split delta functions
2017, Vol.7, (1):119-133, DOI:10.11948/2017009
- Yuqing Zhang, Yuan Li and Rong An
- Two-level iteration penalty and variational multiscale method for steady incompressible flows
2016, Vol.6, (3):607-627, DOI:10.11948/2016042
- Jiamin Wei, Yongguang Yu and Sha Wang
- Parameter estimation for noisy chaotic systems based on an improved particle swarm optimization algorithm
2015, Vol.5, (2):232-242, DOI:10.11948/2015021
- Lufang Mi, Wenyan Cui and Honglian You
- Periodic and quasi-periodic solutions for the complex Swift-Hohenberg equation
2020, Vol.10, (1):297-313, DOI:10.11948/20190152
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- Feng Qi and Wen-Hui Li
- A logarithmically completely monotonic function involving the ratio of gamma functions
2015, Vol.5, (4):626-634, DOI:10.11948/2015049
- Shu-Ping Bai, Feng Qi and Shu-Hong Wang
- Some new integral inequalities of Hermite-Hadamard type for $\boldsymbol{(\alpha,m;P)}$-convex functions on co-ordinates
2016, Vol.6, (1):171-178, DOI:10.11948/2016014
- Peide Liu and Lanlan Shi
- Intuitionistic uncertain linguistic powered einstein aggregation operators and their application to multi-attribute group decision making
2015, Vol.5, (4):534-561, DOI:10.11948/2015042