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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 bimonthly 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 1.573 (2019).
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- A delayed predator-prey model with prey population guided anti-predator behaviour and stage structure
- GLOBAL WELL-POSEDNESS OF THE GENERALIZED ROTATING MAGNETOHYDRODYNAMICS EQUATIONS IN VARIABLE EXPONENT FOURIER-BESOV SPACES
- Dynamics of Singular Traveling Wave Solutions of a Short Capillary-Gravity Wave Equation
- Flow of Maxwell Fluid in a Channel with Uniform Porous Walls
- Controllability and Hyers--Ulam stability of impulsive second order abstract damped differential system
- The existence and stability of order-1 periodic solutions for a state-dependent Kolmogorov predator-prey model with non-selective harvesting
- Dynamics of a generalized Lorenz-like chaos dynamical systems
- Estimating white noise intensity regions for comparable properties of a class of SEIRS stochastic and deterministic epidemic models
- The preconditioned GAOR methods for generalized least squares problems
- Kamal transform and Ulam stability of differential equations
- A Variational approach for a problem involving a $\psi$-Hilfer fractional operator
- Stability analysis between the hybrid stochastic delay differential equations with jumps and the Euler-Maruyama method
- Nitsche's type stabilization for the fully mixed Navier-Stokes/Darcy problem
- Some systems with $C^{1}$ regularity and only negative Lyapunov exponents
- Optimal $H^1$ error analysis of a fractional step finite element scheme for a hybrid MHD system
- On the well-posedness of the stochastic 2D primitive equations
- Numerical approximation of the elliptic eigenvalue problem by stabilized nonconforming finite element method
- New existence, uniqueness results for multi-dimensional multi-term Caputo time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains
- Multiple positive solutions of the discrete Dirichlet problem with one-dimensional prescribed mean curvature operator
- On a discrete elliptic problem with a weight
- Existence and asymptotic behavior of traveling waves in a host-vector epidemic model
- Existence of periodic waves and kink waves in a perturbed defocusing mKdV equation
- Positive solutions in the space of Lipschitz functions to a class of fractional differential equations with infinite-point boundary value conditions
- Bifurcations of Travelling Wave Solutions in Three Modified Camassa-Holm Equations
- A study of generalized Caputo fractional differential equations and inclusions with Steiltjes-type fractional integral boundary conditions via fixed-point theory
- BIFURCATIONS AND EXACT TRAVELLING WAVE SOLUTIONS FOR A NEW INTEGRABLE NONLOCAL EQUATION
- Optimal control problems for space-fractional wave equations
- Fractional boundary value problem with nabla difference equation
- Bifurcation, a-priori bound and negative solutions for the complex Hessian equation
- Integrability and limit cycles of a symmetric 3-dim quadratic system
- Orlicz multiple affine quermassintegrals
- An efficient numerical method based on Legendre-Galerkin approximation for the Steklov eigenvalue problem in spherical domain
- The existence of nontrivial solution for boundary value problem of nonlinear fractional differential equation
- Bifurcation analysis of a diffusive predator-prey model with Beddington-DeAngelis functional response
- Stability of a delayed adaptive immunity HIV infection model with silent infected cells and cellular infection
- An elliptic partial differential equation modeling the production planning problem
- New exact solutions for coupled Schrodinger-Boussinesq equations
- Existence of non-trivial solutions for the Kirchhoff-type equations with Fu\v{c}ik-type resonance at infinity
- complete invariant fuzzy metrics on semigroups and groups
- Conservation laws, exact solutions of time-space fractional generalized Ginzburg-Landau equation for shallow wake flows
- Some geometric properties of multivalent analytic functions associated with the lemniscate of Bernoulli
- Modeling the Within-Host Dynamics of Cholera: Bacterial-Viral-Immune Interaction
- The exact blow-up rate of large solutions to infinity-Laplacian equation
- Hopf bifurcation in a delayed predator-prey system with general group defense for prey
- Saddle-point Behavior of A Gilpin-Ayala Two-Species Competition Model with Stage Structure
- NEW PRECONDITIONED GAOR METHODS FOR BLOCK LINEAR SYSTEM ARISING FROM WEIGHTED LINEAR LEAST SQUARES PROBLEMS
- Positive and Sign-Changing Solutions for the Fractional Kirchhoff Equation with Critical Growth
- Hyers-Ulam stability for an nth order differential equation using fixed point approach
- Unilateral problem for a nonlinear wave equation with p-Laplacian operator
- Eigenvalue problem for fractional difference equation with nonlocal conditions
- Zero-Hopf bifurcation in nuclear spin generator system
- EXISTENCE AND MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS FOR A CLASS OF SECOND ORDER DAMPED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS
- A theoretical study on schistosomiasis infection model: Application of biological optimal control
- Darboux transformations, multisolitons, breather and rogue wave solutions for a higher-order dispersive nonlinear Schrodinger equation
- {Regular dynamics and box-counting dimension\\ for a stochastic reaction-diffusion equation on unbounded domains
- Traveling wave, lump wave, rogue wave, multi-Kink solitary wave and interaction solutions
- Random pullback attractor for a non-autonomous modified Swift-Hohenberg equation with multiplicative noise
- Quadratic approximation of solutions for set-valued functional differential equations
- Non-periodic discrete Schrodinger equations with sign-changing and super-quadratic terms: Existence of solutions
- Spreading Speeds of Monostable Equations in Locally Spatially Variational Habitat with Hybrid Dispersal
- Existence and exponential stability of mild solutions for second-order neutral stochastic functional differential equation with random impulses
- The bifurcation travelling waves of a generalized Broer-Kaup equation
- General high-order breather solutions, lump solutions and mixed solutions in the (2+1)-dimensional bidirectional Sawada-Kotera equation
- Exploring the conformable time-fractional (3 + 1)- dimensional modi fied Korteweg-de Vries- Zakharov- Kuznetsov equation via three integration schemes
- A NOTE ON FIXED POINT THEOREMS ON G-METRIC SPACES
- Finite Iterative (R,S)-conjugate solutions of the generalized complex coupled Sylvester-transpose equations
- Existence of Solutions to Fractional Differential Equations with Fractional-order Derivative Terms
- Monotone Traveling Waves of Nonmonotone Integrodifference Equations
- Dispersion and fractional Lie group analysis of time fractional equation from Burgers hierarchy
- The effects of delay and impulsive drug therapy in an HIV model with CTLs immune response
- Necessary and Sufficient Conditions and Optimal Constant Factors for the Validity of Multiple Integral Half-Discrete Hilbert Type Inequalities with a Class of Quasi-Homogeneous Kernels
- Existence and multiplicity of positive solutions for a system of nonlinear fractional multi-point boundary value problems with $p$-Laplacian operator
- Dynamics of a high-order nonlinear fuzzy difference equation
- A delayed discrete multi-group nonlinear epidemic model with vaccination and latency
- Convergence analysis of new additive Schwarz method for solving nonselfadjoint elliptic problems
- Overlapping multi-domain spectral method for Non-Darcian mixed convection chemically reacting flow of micropolar fluid over a flat plate in a porous media
- Analysis of autonomous Lotka-Volterra systems by Levy noise
- 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
- Anti-Periodic solution for fourth-order impulsive differential equation via Saddle point theorem
- Asymptotic dynamic of the nonclassical diffusion equation with time-dependent coefficient
- The reduced order method for solving the linear complementarity problem with an M-matrix
- Elvan Akin, Gulsah Yeni
- On exact solutions to epidemic dynamic models
2020, Vol.10, (6):2299-2312, DOI:10.11948/20190087
- Aftab Hussain, Hamed Al Sulami, Nawab Hussain, Hamza Farooq
- Newly fixed disc results using advanced contractions on F-metric space
2020, Vol.10, (6):2313-2322, DOI:10.11948/20190197
- Ye Cheng, Bao Shi, Bin Wu
- Robust fixed-time consensus protocols for multi-agent systems with nonlinear state measurements
2020, Vol.10, (6):2323-2337, DOI:10.11948/20190208
- Yaqing Sun, Hongjun Gao
- Wong-Zakai approximations and attractors for fractional stochastic reaction-diffusion equations on unbounded domains
2020, Vol.10, (6):2338-2361, DOI:10.11948/20190215
- Jihua Yang
- On the number of limit cycles by perturbing a piecewise smooth Hamilton system with two straight lines of separation
2020, Vol.10, (6):2362-2380, DOI:10.11948/20190220
- Yanyan Zhang, Yu Zhang
- Interactions of delta shock waves for a class of nonstrictly hyperbolic system of conservation laws
2020, Vol.10, (6):2381-2399, DOI:10.11948/20190228
- Weiliang Wu, Bicheng Yang
- A few equivalent statements of a Hilbert-type integral inequality with the Riemann-Zeta function
2020, Vol.10, (6):2400-2417, DOI:10.11948/20190238
- Wenjing Song, Ganshan Yang
- Cauchy problem for the generalized Davey-Stewartson systems in Besov spaces and some counterexamples
2020, Vol.10, (6):2418-2438, DOI:10.11948/20190257
- Yanlin Ding, Xinzhi Ren, Cuicui Jiang, Qianhong Zhang
- Periodic solution of a stochastic SIQR epidemic model incorporating media coverage
2020, Vol.10, (6):2439-2458, DOI:10.11948/20190333
- Yongqing Wang, Yonghong Wu
- Positive solutions of fractional differential equation boundary value problems at resonance
2020, Vol.10, (6):2459-2475, DOI:10.11948/20190356
- Necdet Bildik, Sinan Deniz
- Optimal iterative perturbation technique for solving Jeffery--Hamel flow with high magnetic field and nanoparticle
2020, Vol.10, (6):2476-2490, DOI:10.11948/20190378
- Risong Li, Tianxiu Lu, Guanrong Chen, Xiaofang Yang
- Further discussion on Kato""s chaos in set-valued discrete systems
2020, Vol.10, (6):2491-2505, DOI:10.11948/20190388
- Yuexin Yan, Zhengxin Zhou
- Research on the composition center of a class of rigid differential systems
2020, Vol.10, (6):2506-2520, DOI:10.11948/20190391
- Shihan Wang, Yu Tian
- Variational methods to the fourth-order linear and nonlinear differential equations with non-instantaneous impulses
2020, Vol.10, (6):2521-2536, DOI:10.11948/20190413
- Yan Qiao, Fangqi Chen, Yukun An
- Existence and multiplicity of weak solutions for a class of fractional Sturm-Liouville boundary value problems with impulsive conditions
2020, Vol.10, (6):2537-2556, DOI:10.11948/20190416
- Ahmed Salem
- Existence results of solutions for anti-periodic fractional Langevin equation
2020, Vol.10, (6):2557-2574, DOI:10.11948/20190419
- Yusen Wu, Ming Zhang, Jinxiu Mao
- Bifurcation of limit cycles at a nilpotent critical point in a septic Lyapunov system
2020, Vol.10, (6):2575-2591, DOI:10.11948/20190424
- Ji Shu, Jian Zhang
- Random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations on unbounded domains
2020, Vol.10, (6):2592-2618, DOI:10.11948/20190430
- Zhaohui Gu, Bicheng Yang
- On an extended Hardy-Hilbert""s inequality in the whole plane
2020, Vol.10, (6):2619-2630, DOI:10.11948/20190433
- Kun Li, Yulin Bai, Wanyi Wang, Fanwei Meng
- Self-adjoint realization of a class of third-order differential operators with an eigenparameter contained in the boundary conditions
2020, Vol.10, (6):2631-2643, DOI:10.11948/20200002
- Ming Chen, Meng Fan, Xin Wang
- Effect of temperature on adaptive evolution of phytoplankton cell size
2020, Vol.10, (6):2644-2658, DOI:10.11948/20200008
- Ruixiong Fan, Chengbo Zhai
- Positive periodic solutions for a nonlinear differential system with two parameters
2020, Vol.10, (6):2659-2668, DOI:10.11948/20200014
- Xiangpeng Xin, Lihua Zhang, Yarong Xia, Hanze Liu
- Nonlocal symmetries and exact solutions of a variable coefficient AKNS system
2020, Vol.10, (6):2669-2681, DOI:10.11948/20200022
- Wei Yang, Chengjun Sun, Julien Arino
- Effect of media-induced modification of travel rates on disease transmission in a multiple patch setting
2020, Vol.10, (6):2682-2703, DOI:10.11948/20200066
- Yanping Jia, Ying Gao, Guang Zhang
- Solutions for the Kirchhoff type equations with fractional Laplacian
2020, Vol.10, (6):2704-2710, DOI:10.11948/20200083
- Lijun Zhang, Jianming Zhang
- Stability and Hopf bifurcation analysis on a spruce-budworm model with delay
2020, Vol.10, (6):2711-2721, DOI:10.11948/20200084
- Yuanfen Xu, Lina Zhang
- Bifurcations of traveling wave solutions for the nonlinear schrodinger equation with fourth-order dispersion and cubic-quintic nonlinearity
2020, Vol.10, (6):2722-2733, DOI:10.11948/20200092
- Xianbo Sun, Pei Yu
- Zero bifurcation diagrams for Abelian integrals: A study on higher-order hyperelliptic Hamiltonian systems with three perturbation parameters
2020, Vol.10, (6):2734-2755, DOI:10.11948/20200168
- Pingrun Li
- Existence of solutions for dual singular integral equations with convolution kernels in case of non-normal type
2020, Vol.10, (6):2756-2766, DOI:10.11948/20200192
- Ronghua Wang, Beiqing Gu, Xiaoling Xu
- Statistical analysis of progressive stress accelerated life test for the product of two-parameter Laplace BS fatigue life distribution under inverse power law model
2020, Vol.10, (6):2767-2786, DOI:10.11948/JAAC-2020-0286
- Jian Tian, Yuanhong Wei
- Radial solution of asymptotically linear elliptic equation with mixed boundary value in annular domain
2020, Vol.10, (6):2787-2805, DOI:10.11948/20200306
- Tadeusz Antczak, Kalpana Shukla
- Higher order duality for a new class of nonconvex semi-infinite multiobjective fractional programming with support functions
2020, Vol.10, (6):2806-2825, DOI:10.11948/20180261
[- 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