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  1. In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function. By making use of this...

    Authors: Wiyada Kumam, Hari Mohan Srivastava, Shahid Ahmad Wani, Serkan Araci and Poom Kumam

    Citation: Advances in Difference Equations 2019 2019:530

    Content type: Research

    Published on:

  2. It is well known that the feedback mechanism or the individual’s intuitive response to the epidemic can have a vital effect on the disease’s spreading. In this paper, we investigate the bifurcation behavior an...

    Authors: Lijuan Chen, Shouying Huang, Fengde Chen and Mingjian Fu

    Citation: Advances in Difference Equations 2019 2019:529

    Content type: Research

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  3. This article deals with existence results of Caputo fractional neutral inclusions without compactness in Banach space using weak topology. In fact, for weakly sequentially closed maps we apply fixed point theo...

    Authors: Manar A. Alqudah, C. Ravichandran, Thabet Abdeljawad and N. Valliammal

    Citation: Advances in Difference Equations 2019 2019:528

    Content type: Research

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  4. This paper deals with some existence, uniqueness, and Ulam stability results for a coupled implicit Caputo fractional q-difference system in Banach and generalized Banach spaces. Some applications are made of ...

    Authors: Saïd Abbas, Mouffak Benchohra, Bessem Samet and Yong Zhou

    Citation: Advances in Difference Equations 2019 2019:527

    Content type: Research

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  5. This paper presents the periodic averaging principle for impulsive stochastic dynamical systems driven by fractional Brownian motion (fBm). Under non-Lipschitz condition, we prove that the solutions to impulsi...

    Authors: Anas Dheyab Khalaf, Mahmoud Abouagwa and Xiangjun Wang

    Citation: Advances in Difference Equations 2019 2019:526

    Content type: Research

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  6. In this paper, we study existence and uniqueness of solutions for a system of Hilfer–Hadamard sequential fractional differential equations via standard fixed point theorems. The existence is proved by using th...

    Authors: Warissara Saengthong, Ekkarath Thailert and Sotiris K. Ntouyas

    Citation: Advances in Difference Equations 2019 2019:525

    Content type: Research

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  7. This paper is concerned with the convergence of solutions for a class of functional integro-differential equations with nonlinear boundary conditions. New comparison principles are obtained. By using the compa...

    Authors: Peiguang Wang, Yameng Wang, Cuimei Jiang and Tongxing Li

    Citation: Advances in Difference Equations 2019 2019:521

    Content type: Research

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  8. In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals w...

    Authors: Shahid Mubeen and Rana Safdar Ali

    Citation: Advances in Difference Equations 2019 2019:520

    Content type: Research

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  9. In this article, an efficient analytical technique, called Laplace–Adomian decomposition method, is used to obtain the solution of fractional Zakharov– Kuznetsov equations. The fractional derivatives are descr...

    Authors: Rasool Shah, Hassan Khan, Dumitru Baleanu, Poom Kumam and Muhammad Arif

    Citation: Advances in Difference Equations 2019 2019:517

    Content type: Research

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  10. In our current investigation, we apply the idea of quantum calculus and the convolution product to amend a generalized Salagean q-differential operator. By considering the new operator and the typical version ...

    Authors: Rabha W. Ibrahim and Maslina Darus

    Citation: Advances in Difference Equations 2019 2019:515

    Content type: Research

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  11. 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

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  12. 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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  13. 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

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  14. 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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  15. 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

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  16. 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

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  17. 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

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  18. 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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  19. 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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  20. 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

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  21. 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

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  22. 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

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  23. 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

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  24. 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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  25. 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

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  26. 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

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  27. 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:

  28. 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:

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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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