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  1. Content type: Research

    This paper is concerned with the approximate controllability and complete controllability of semilinear fractional functional differential systems with control involving Caputo fractional derivative. By using ...

    Authors: Yanhua Wen and Xian-Feng Zhou

    Citation: Advances in Difference Equations 2018 2018:375

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  2. Content type: Research

    In this paper, using the topological degree theory, we establish two existence theorems for nontrivial solutions for boundary value problems of a fourth order difference equation with a sign-changing nonlinear...

    Authors: Keyu Zhang, Donal O’Regan and Zhengqing Fu

    Citation: Advances in Difference Equations 2018 2018:370

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  3. Content type: Research

    Most stochastic age-dependent capital systems cannot be solved explicitly, so it is necessary to develop numerical methods and study the properties of numerical solutions. In this paper, we consider a class of...

    Authors: Ting Kang and Qimin Zhang

    Citation: Advances in Difference Equations 2018 2018:371

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  4. Content type: Research

    This paper deals with some existence results for two classes of coupled systems of Hilfer and Hilfer–Hadamard random fractional differential equations. The main tool used to carry out our results is Itoh’s ran...

    Authors: Saïd Abbas, Mouffak Benchohra and Yong Zhou

    Citation: Advances in Difference Equations 2018 2018:369

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  5. Content type: Research

    This paper considers a portfolio selection problem with a quadratic utility of consumption, which is symmetric with respect to a bliss point. At bliss point, the utility function has its maximum value and furt...

    Authors: Byung Hwa Lim and Ho-Seok Lee

    Citation: Advances in Difference Equations 2018 2018:366

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  6. Content type: Research

    For stochastic differential equations (SDEs) whose drift and diffusion coefficients can grow super-linearly, the equivalence of the asymptotic mean square stability between the underlying SDEs and the partiall...

    Authors: Yanan Jiang, Zequan Huang and Wei Liu

    Citation: Advances in Difference Equations 2018 2018:355

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  7. Content type: Research

    In this paper, we solve a system of fractional differential equations within a fractional derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the Chebyshev polynomials as a b...

    Authors: D. Baleanu, B. Shiri, H. M. Srivastava and M. Al Qurashi

    Citation: Advances in Difference Equations 2018 2018:353

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  8. Content type: Research

    Fractional differential equations (FDEs) of distributed-order are important in depicting the models where the order of differentiation distributes over a certain range. Numerically solving this kind of FDEs re...

    Authors: Jiahui Hu, Jungang Wang and Yufeng Nie

    Citation: Advances in Difference Equations 2018 2018:352

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  9. Content type: Research

    This paper aims to obtain an approximate solution for fractional order Riccati differential equations (FRDEs). FRDEs are equivalent to nonlinear Volterra integral equations of the second kind. In order to solv...

    Authors: Bijan Hasani Lichae, Jafar Biazar and Zainab Ayati

    Citation: Advances in Difference Equations 2018 2018:349

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  10. Content type: Research

    In this study, we consider fractional Sturm–Liouville (S–L) problems within non-singular operators. A fractional S–L problem with exponential and Mittag-Leffler kernels is given with different versions in the ...

    Authors: Erdal Bas, Ramazan Ozarslan, Dumitru Baleanu and Ahu Ercan

    Citation: Advances in Difference Equations 2018 2018:350

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  11. Content type: Research

    In this paper, we analyze a delayed SEIR epidemic model in which the latent and infected states are infective. The model has a globally asymptotically stable disease-free equilibrium whenever a certain epidemiolo...

    Authors: Aekabut Sirijampa, Settapat Chinviriyasit and Wirawan Chinviriyasit

    Citation: Advances in Difference Equations 2018 2018:348

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  12. Content type: Research

    This paper considers numerical methods for solving the viscous incompressible steady-state Stokes–Darcy problem that can be implemented by the use of existing surface water and groundwater codes. In the porous...

    Authors: Jiaping Yu, Md. Abdullah Al Mahbub, Feng Shi and Haibiao Zheng

    Citation: Advances in Difference Equations 2018 2018:346

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  13. Content type: Research

    In this paper, the iterative learning control (ILC) technique is extended to multi-input multi-output (MIMO) systems governed by parabolic partial difference equations with time delay. Two types of ILC algorit...

    Authors: Xisheng Dai, Xuemin Tu, Yong Zhao, Guangxing Tan and Xingyu Zhou

    Citation: Advances in Difference Equations 2018 2018:344

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  14. Content type: Research

    In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and multi-strip boundary value problems of multi-term fractional differential equations by using standard fixe...

    Authors: Ravi P. Agarwal, Ahmed Alsaedi, Najla Alghamdi, Sotiris K. Ntouyas and Bashir Ahmad

    Citation: Advances in Difference Equations 2018 2018:342

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  15. Content type: Research

    In this paper, we discuss the dissipativity and stabilization problems via matrix measure strategy. First, we propose a way to construct complex-valued set-valued maps and give the basic framework of complex-v...

    Authors: Zengyun Wang, Jinde Cao and Zhenyuan Guo

    Citation: Advances in Difference Equations 2018 2018:340

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  16. Content type: Research

    This paper deals with the global Mittag-Leffler synchronization of fractional-order memristive neural networks (FMNNs) with time delay. Since the FMNNs are essentially a class of switched systems with irregula...

    Authors: Yingjie Fan, Xia Huang, Zhen Wang, Jianwei Xia and Yuxia Li

    Citation: Advances in Difference Equations 2018 2018:338

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  17. Content type: Research

    In this work we consider an epidemic model that contains four species susceptible, exposed, infected and quarantined. With this model, first we find a feasible region which is invariant and where the solutions...

    Authors: Wanjun Xia, Soumen Kundu and Sarit Maitra

    Citation: Advances in Difference Equations 2018 2018:336

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  18. Content type: Research

    We consider the multidimensional dimensional inhomogeneous Landau–Lifshitz–Gilbert (ILLG) equation and its degenerate case, the Schrödinger map equation. We investigate the special solutions (under large initi...

    Authors: Penghong Zhong, Chao Zhang and Fengong Wu

    Citation: Advances in Difference Equations 2018 2018:335

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  19. Content type: Research

    We have employed a modified form of the F-expansion technique on four nonlinear waves models and obtained numerous exact and soliton wave solutions in a different form. New constructed solutions showed the sig...

    Authors: Asghar Ali, Aly R. Seadawy and Dianchen Lu

    Citation: Advances in Difference Equations 2018 2018:334

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  20. Content type: Research

    In this paper, we consider a modified predator–prey model with Michaelis–Menten-type predator harvesting and diffusion term. We give sufficient conditions to ensure that the coexisting equilibrium is asymptoti...

    Authors: Qiannan Song, Ruizhi Yang, Chunrui Zhang and Leiyu Tang

    Citation: Advances in Difference Equations 2018 2018:329

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  21. Content type: Research

    In this article, we present some existence of weak solutions for a coupled system of implicit fractional differential equations of Hilfer–Hadamard type. Our approach is based on Mönch’s fixed point theorem ass...

    Authors: Saïd Abbas, Mouffak Benchohra, Naima Hamidi and Yong Zhou

    Citation: Advances in Difference Equations 2018 2018:328

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  22. Content type: Research

    In this article, we investigate a class of impulsive Hamiltonian systems with a p-Laplacian operator. By establishing a series of new sufficient conditions, the existence of homoclinic solutions to such type of s...

    Authors: Jian Liu, Lizhao Yan, Fei Xu and Mingyong Lai

    Citation: Advances in Difference Equations 2018 2018:326

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  23. Content type: Research

    In this paper, a kind of fractional-order predator–prey (FOPP) model with a constant prey refuge and feedback control is considered. By analyzing characteristic equations, we carry out detailed discussion with...

    Authors: Hong-Li Li, Ahmadjan Muhammadhaji, Long Zhang and Zhidong Teng

    Citation: Advances in Difference Equations 2018 2018:325

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2017 Journal Metrics

Editors-in-Chief

agarwal_edit Ravi Agarwal, Texas A&M University, Kingsville, United States of America | 

Ravi's SpringerNature Publications

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications

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