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  1. The purpose of this article is to present a technique for the numerical solution of Caputo time fractional superdiffusion equation. The central difference approximation is used to discretize the time derivativ...

    Authors: Muhammad Amin, Muhammad Abbas, Muhammad Kashif Iqbal, Ahmad Izani Md. Ismail and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:514

    Content type: Research

    Published on:

  2. In this article, we prove the existence and uniqueness of a solution for 2-dimensional time-fractional differential equations with classical and integral boundary conditions. We start by writing this problem i...

    Authors: Lotfi Kasmi, Amara Guerfi and Said Mesloub

    Citation: Advances in Difference Equations 2019 2019:511

    Content type: Research

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  3. In this paper, we consider the dynamics of a reaction–diffusion equation with fading memory and nonlinearity satisfying arbitrary polynomial growth condition. Firstly, we prove a criterion in a general setting...

    Authors: Jiangwei Zhang, Yongqin Xie, Qingqing Luo and Zhipiao Tang

    Citation: Advances in Difference Equations 2019 2019:510

    Content type: Research

    Published on:

  4. Transmission dynamics of swine influenza pandemic is analysed through a deterministic model. Qualitative analysis of the model includes global asymptotic stability of disease-free and endemic equilibria under ...

    Authors: Takasar Hussain, Muhammad Ozair, Kazeem Oare Okosun, Muhammad Ishfaq, Aziz Ullah Awan and Adnan Aslam

    Citation: Advances in Difference Equations 2019 2019:508

    Content type: Research

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  5. In this paper, we focus on dynamics in a basic discrete-time system of host–parasitoid interaction. We perform local stability analysis of this system. Furthermore, both flip and Neimark–Sacker bifurcations ar...

    Authors: Hua Liu, Kai Zhang, Yong Ye, Yumei Wei and Ming Ma

    Citation: Advances in Difference Equations 2019 2019:507

    Content type: Research

    Published on:

  6. In this paper, we are concerned with a delayed smoking model in which the population is divided into five classes. Sufficient conditions guaranteeing the local stability and existence of Hopf bifurcation for t...

    Authors: Zizhen Zhang, Ruibin Wei and Wanjun Xia

    Citation: Advances in Difference Equations 2019 2019:505

    Content type: Research

    Published on:

  7. In this work, we establish an approach to constructing compact operators between arbitrary infinite-dimensional Banach spaces without a Schauder basis. For this purpose, we use a countable number of basic sequ...

    Authors: Ahmed Morsy, Nashat Faried, Samy A. Harisa and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2019 2019:504

    Content type: Research

    Published on:

  8. In this paper, an efficient numerical method is presented for solving nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets. By the properties of Haar wavelets and stochastic integration ...

    Authors: Jieheng Wu, Guo Jiang and Xiaoyan Sang

    Citation: Advances in Difference Equations 2019 2019:503

    Content type: Research

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  9. In this work, the exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into co...

    Authors: M. Iswarya, R. Raja, G. Rajchakit, J. Cao, J. Alzabut and C. Huang

    Citation: Advances in Difference Equations 2019 2019:502

    Content type: Research

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  10. In this paper we study the Boussinesq equation with power law nonlinearity and dual dispersion which arises in fluid dynamics. A particular kind of product of distributions is introduced and applied to solve n...

    Authors: Shan Zheng, Zhengyong Ouyang and Kuilin Wu

    Citation: Advances in Difference Equations 2019 2019:501

    Content type: Research

    Published on:

  11. In this research work, the necessary and sufficient conditions of a coupled coincidence point of certain type of generalized contractions are explored. These results are considered under JS-metric spaces equip...

    Authors: A. H. Ansari, A. Khemphet, N. Phudolsitthiphat and A. Wiriyapongsanon

    Citation: Advances in Difference Equations 2019 2019:499

    Content type: Research

    Published on:

  12. This paper introduces the projective synchronization of different fractional-order multiple chaotic systems with uncertainties, disturbances, unknown parameters, and input nonlinearities. A fractional adaptive...

    Authors: Zahra Rashidnejad Heydari and Paknosh Karimaghaee

    Citation: Advances in Difference Equations 2019 2019:498

    Content type: Research

    Published on:

  13. Malaria is one of the world’s most serious health problems because of the increasing number of cases every year. First, we discuss a deterministic model of epidemic SIR-SI spread of malaria with the interventi...

    Authors: Bevina D. Handari, Febyan Vitra, Radhiya Ahya, Tengku Nadya S. and Dipo Aldila

    Citation: Advances in Difference Equations 2019 2019:497

    Content type: Research

    Published on:

  14. In the present paper, starting with the Black–Scholes equations, whose solutions are the values of European options, we describe the exponential jump-diffusion model of Levy process type. Here, a jump-diffusio...

    Authors: Rahman Akbari, Reza Mokhtari and Mohammad Taghi Jahandideh

    Citation: Advances in Difference Equations 2019 2019:495

    Content type: Research

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  15. In this paper, we prove the existence of a critical traveling wave solution for a delayed diffusive SIR epidemic model with saturated incidence. Moreover, we establish the nonexistence of traveling wave soluti...

    Authors: Yueling Cheng, Dianchen Lu, Jiangbo Zhou and Jingdong Wei

    Citation: Advances in Difference Equations 2019 2019:494

    Content type: Research

    Published on:

  16. In the current paper, authors proposed a computational model based on the cubic B-spline method to solve linear 6th order BVPs arising in astrophysics. The prescribed method transforms the boundary problem to ...

    Authors: A. Khalid, M. N. Naeem, P. Agarwal, A. Ghaffar, Z. Ullah and S. Jain

    Citation: Advances in Difference Equations 2019 2019:492

    Content type: Research

    Published on:

  17. In this paper, we study the existence and uniqueness for a new class of impulsive fractional boundary value problems with separated boundary conditions containing the Caputo fractional derivative of a function...

    Authors: Chanon Promsakon, Eakachai Suntonsinsoungvon, Sotiris K. Ntouyas and Jessada Tariboon

    Citation: Advances in Difference Equations 2019 2019:486

    Content type: Research

    Published on:

  18. This paper is dedicated to neural networks-based adaptive finite-time control design of switched nonlinear systems in the time-varying domain. More specifically, by employing the approximation ability of neura...

    Authors: Xikui Liu, Xiurong Shi and Yan Li

    Citation: Advances in Difference Equations 2019 2019:482

    Content type: Research

    Published on:

  19. In this paper, we consider the initial inverse problem for a diffusion equation with a conformable derivative in a general bounded domain. We show that the backward problem is ill-posed, and we propose a regul...

    Authors: Tran Thanh Binh, Nguyen Hoang Luc, Donal O’Regan and Nguyen H. Can

    Citation: Advances in Difference Equations 2019 2019:481

    Content type: Research

    Published on:

  20. This paper is concerned with periodic pulse control of Hopf bifurcation for a fractional-order delay predator–prey model incorporating a prey refuge. The existence and uniqueness of a solution for such system ...

    Authors: Xiuduo Liu and Hui Fang

    Citation: Advances in Difference Equations 2019 2019:479

    Content type: Research

    Published on:

  21. In this paper, we study an n-dimensional fractional differential system with p-Laplace operator, which involves multi-strip integral boundary conditions. By using the Leggett–Williams fixed point theorem, the exi...

    Authors: Tian Wang, Guo Chen and Huihui Pang

    Citation: Advances in Difference Equations 2019 2019:477

    Content type: Research

    Published on:

  22. This paper studies the global properties of chikungunya virus (CHIKV) dynamics models with both CHIKV-to-monocytes and infected-to-monocyte transmissions. We assume that the infection rate of modeling CHIKV in...

    Authors: A. M. Elaiw, S. E. Almalki and A. D. Hobiny

    Citation: Advances in Difference Equations 2019 2019:476

    Content type: Research

    Published on:

  23. In this investigation, by applying the definition of the fractional q-derivative of the Caputo type and the fractional q-integral of the Riemann–Liouville type, we study the existence and uniqueness of solutions ...

    Authors: Sotiris K. Ntouyas and Mohammad Esmael Samei

    Citation: Advances in Difference Equations 2019 2019:475

    Content type: Research

    Published on:

  24. We study a coupled system of Caputo fractional differential equations with coupled non-conjugate Riemann–Stieltjes type integro-multipoint boundary conditions. Existence and uniqueness results for the given bo...

    Authors: Ahmed Alsaedi, Bashir Ahmad, Ymnah Alruwaily and Sotiris K. Ntouyas

    Citation: Advances in Difference Equations 2019 2019:474

    Content type: Research

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  25. We investigate some new class of hybrid type fractional differential equations and inclusions via some nonlocal three-point boundary value conditions. Also, we provide some examples to illustrate our results.

    Authors: D. Baleanu, S. Etemad, S. Pourrazi and Sh. Rezapour

    Citation: Advances in Difference Equations 2019 2019:473

    Content type: Research

    Published on:

  26. In this work, we have developed a Coxian-distributed SEIR model when incorporating an empirical incubation period. We show that the global dynamics are completely determined by a basic reproduction number. An ...

    Authors: Sungchan Kim, Jong Hyuk Byun and Il Hyo Jung

    Citation: Advances in Difference Equations 2019 2019:469

    Content type: Research

    Published on:

  27. Closed-form formulas for general solutions to sixteen hyperbolic-cotangent-type systems of difference equations of interest are obtained, showing their practical solvability and completely solving a solvabilit...

    Authors: Stevo Stević

    Citation: Advances in Difference Equations 2019 2019:467

    Content type: Research

    Published on:

  28. In this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence result...

    Authors: Yongzhen Yun, Tianqing An and Guoju Ye

    Citation: Advances in Difference Equations 2019 2019:466

    Content type: Research

    Published on:

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Editors-in-Chief

​​​​​​​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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