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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 quarterly 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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- Existence and multiplicity of weak solutions for a class of fractional Sturm-Liouville boundary value problems with impulsive conditions
- Convergence analysis of new additive Schwarz method for solving nonselfadjoint elliptic problems
- Robust fixed-time consensus protocols for multi-agent systems with nonlinear state measurements
- Cauchy problem for the generalized Davey-Stewartson systems in Besov spaces and some counterexamples
- Overlapping multi-domain spectral method for Non-Darcian mixed convection chemically reacting flow of micropolar fluid over a flat plate in a porous media
- Optimal iterative perturbation technique for solving Jeffery-Hamel flow with high magnetic field and nanoparticle
- Analysis of autonomous Lotka-Volterra systems by Levy noise
- Self-adjoint realization of a class of third-order differential operators with eigenparameter dependent boundary conditions
- Nonlocal symmetries and exact solutions of variable coefficient AKNS system
- On ADMM-based methods for solving the nearness symmetric solution of the system of matrix equations A1XB1 = C1 and A2XB2 = C2
- Stability analysis of a nonlocal fractional impulsive coupled evolution differential equation
- A Few Equivalent Statements of a Hilbert-Type Integral Inequality with the Riemann Zeta Function
- EFFECT OF TEMPERATURE ON ADAPTIVE EVOLUTION OF PHYTOPLANKTON CELL SIZE
- Effect of media-induced modification of travel rates on disease transmission in a multiple patch setting
- Anti-Periodic solution for fourth-order impulsive differential equation via Saddle point theorem
- Asymptotic dynamic of the nonclassical diffusion equation with time-dependent coefficient
- BEYOND SUMUDU TRANSFORM AND NATURAL TRANSFORM: J-TRANSFORM PROPERTIES AND APPLICATIONS
- Variational methods to the fourth-order linear and nonlinear diffierential equations with non-instantaneous impulses
- On Exact Solutions to Epidemic Dynamic Models
- HIGHER ORDER DUALITY FOR A NEW CLASS OF NONCONVEX MULTIOBJECTIVE FRACTIONAL SEMI-INFINITE PROGRAMMING WITH SUPPORT FUNCTIONS
- Asymptotic autonomy of random attractors for BBM equations with Laplace-multiplier noise
- Exact peakon solutions given by the generalized hyperbolic functions for some nonlinear wave equations
- Positive solutions of fractional differential equation boundary value problems at resonance
- Dynamical behavior analysis of a two-dimensional discrete predator-prey model with prey refuge and fear factor
- Bifurcation of limit cycles at a nilpotent critical point in a septic Lyapunov system
- CC-center of a class of rigid di?erential systems
- Existence results of solutions for anti-periodic fractional Langevin equation
- Positive periodic solutions for a nonlinear differential system with two parameters
- Periodic solution of a stochastic SIQR epidemic model incorporating media coverage
- Newly Produced Disc E?ects via Advanced Contractions on F-metric Space
- Solutions for the Kirchhoff type equations with fractional Laplacian
- On an Extended Hardy-Hilbert's Inequality in the Whole Plane
- BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHR O¨DINGER EQUATION WITH FOURTH-ORDER DISPERSION AND CUBIC-QUINTIC NONLINEARITY
- 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
- 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
- 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
- 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
- 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
- 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
- Analytical results for quadratic integral equations with phase-lag term
- Rough Convergence of Double Sequences of Fuzzy Numbers
- 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
- 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
- Global relaxed modulus-based synchronous block multisplitting multi-parameters methods for linear complementarity problems
- The reduced order method for solving the linear complementarity problem with an M-matrix
- Runchang Lin, Xiu Ye, Shangyou Zhang and Peng Zhu
- Analysis of a DG method for singularly perturbed convection-diffusion problems
2020, Vol.10, (3):830-841, DOI:10.11948/20180164
- Chunfang Shen, Hui Zhou, Xiaoxiang Fan and Liu Yang
- Positive solution for nonlinear third-order multi-point boundary value problem at resonance
2020, Vol.10, (3):842-852, DOI:10.11948/20180172
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- Junying Cao, Lizhen Chen and Ziqiang Wang
- A block-by-block method for the impulsive fractional ordinary differential equations
2020, Vol.10, (3):853-874, DOI:10.11948/20180312
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- Zhaowen Zheng and Jing Shao
- Limit Point, strong limit point and Dirichlet conditions for discrete Hamiltonian systems
2020, Vol.10, (3):875-891, DOI:10.11948/20190042
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- Bashir Ahmad, Ahmed Alsaedi and Sotiris K. Ntouyas
- Fractional order nonlinear mixed coupled systems with coupled integro-differential boundary conditions
2020, Vol.10, (3):892-903, DOI:10.11948/20190096
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- Zhaowei Tian, Shuying Zhai and Zhifeng Weng
- Compact finite difference schemes of the time fractional Black-Scholes model
2020, Vol.10, (3):904-919, DOI:10.11948/20190148
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- Aizhen Wang and Bicheng Yang
- Equivalent property of a more accurate half-discrete Hilbert''s inequality
2020, Vol.10, (3):920-934, DOI:10.11948/20190153
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- Bo Ren, Ji Lin and Zhi-Mei Lou
- Lumps and their interaction solutions of a (2+1)-dimensional generalized potential Kadomtsev-Petviashvili equation
2020, Vol.10, (3):935-945, DOI:10.11948/20190162
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- Vishal Gupta, Pooja Dhawan and Jatinderdeep Kaur
- On $\Psi$-projective expansion, quasi partial metrics aggregation with an application
2020, Vol.10, (3):946-959, DOI:10.11948/20190171
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- Jian-Guo Liu, Wen-Hui Zhu and Li Zhou
- Interaction solutions and abundant exact solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics
2020, Vol.10, (3):960-971, DOI:10.11948/20190172
- Yifen Ke
- Finite iterative algorithm for the complex generalized Sylvester tensor equations
2020, Vol.10, (3):972-985, DOI:10.11948/20190178
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- Chanchal Garodia and Izhar Uddin
- A new iterative method for solving split feasibility problem
2020, Vol.10, (3):986-1004, DOI:10.11948/20190179
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- Dandan Min and Fangqi Chen
- Existence of solutions for a fractional advection-dispersion equation with impulsive effects via variational approach
2020, Vol.10, (3):1005-1023, DOI:10.11948/20190181
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- Peng Wang, Chengde Lin, Xiaobo Yang and Shengwu Xiong
- Low-rank and sparse matrix recovery from noisy observations via 3-block ADMM algorithm
2020, Vol.10, (3):1024-1037, DOI:10.11948/20190182
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- Benzhi Cai, Zhenli Wang, Lihua Zhang and Hanze Liu
- Lump solutions to the generalized (2+1)-dimensional B-type Kadomtsev-Petviashvili equation
2020, Vol.10, (3):1038-1046, DOI:10.11948/20190183
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- Yajun Xie, Minhua Yin and Limin Ren
- Krylov subspace methods of Hessenberg based for algebraic Riccati equation
2020, Vol.10, (3):1047-1059, DOI:10.11948/20190185
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- Jian-gen Liu, Xiao-Jun Yang, Yi-Ying Feng and Hong-Yi Zhang
- Analysis of the time fractional nonlinear diffusion equation from diffusion process
2020, Vol.10, (3):1060-1072, DOI:10.11948/20190186
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- Dongyue Liu and Kemei Zhang
- Existence of positive solutions to a boundary value problem for a delayed singular high order fractional differential equation with sign-changing nonlinearity
2020, Vol.10, (3):1073-1093, DOI:10.11948/20190190
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- Somayeh Khademloo, Ghasem Alizadeh Afrouzi and Jiafa Xu
- Existence and Multiplicity of solutions for a quasilinear elliptic system on unbounded domains involving nonlinear boundary conditions
2020, Vol.10, (3):1094-1106, DOI:10.11948/20190192
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- Juan Luo
- Unitarily invariant norm and $Q$-norm estimations for the Moore--Penrose inverse of multiplicative perturbations of matrices
2020, Vol.10, (3):1107-1117, DOI:10.11948/20190206
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- Xiaofeng Su and Xianlong Fu
- Approximate controllability of second-order semilinear evolution systems with state-dependent infinite delay
2020, Vol.10, (3):1118-1148, DOI:10.11948/20190217
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- Ranran Liu, Hui Liu and Jie Xin
- Attractor for the non-autonomous long wave-short wave resonance interaction equation with damping
2020, Vol.10, (3):1149-1169, DOI:10.11948/20190246
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- Xiaoyu Jiang, Yu Yang, Fanwei Meng and Yancong Xu
- Modelling the dynamics of avian influenza with nonlinear recovery rate and psychological effect
2020, Vol.10, (3):1170-1192, DOI:10.11948/20190253
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- Jiawei Wang, Yiqiao Wang, Ying Wang and Lina Zheng
- Computation on the Topological Indices of Hyaluronic Acid
2020, Vol.10, (3):1193-1198, DOI:10.11948/20190263
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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