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  1. Content type: Research

    Li et al. (SIAM J. Sci. Comput. 20:719–738, 1998) used the moving mesh partial differential equation (MMPDE) to solve a scaled Fisher’s equation and the initial condition consisting of an exponential function. Th...

    Authors: K. M. Agbavon, A. R. Appadu and M. Khumalo

    Citation: Advances in Difference Equations 2019 2019:146

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  2. Content type: Research

    In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbe...

    Authors: Semra Kuş, Naim Tuglu and Taekyun Kim

    Citation: Advances in Difference Equations 2019 2019:145

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  3. Content type: Research

    In this paper, we compare solutions of q-order fractional differential equations of Caputo type for q near 1 with solutions of the corresponding 1-order ordinary differential equations. By establishing the explic...

    Authors: Michal Fečkan, Michal Pospíšil and JinRong Wang

    Citation: Advances in Difference Equations 2019 2019:143

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  4. Content type: Research

    In this work, we investigate the result of dissipative analysis for Takagi–Sugeno fuzzy Markovian jumping neural networks with impulsive perturbations via delay partition approach. By using the Lyapunov–Krasov...

    Authors: V. J. Nirmala, T. Saravanakumar and Quanxin Zhu

    Citation: Advances in Difference Equations 2019 2019:140

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  5. Content type: Research

    In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as B...

    Authors: Aphirak Aphithana, Sotiris K. Ntouyas and Jessada Tariboon

    Citation: Advances in Difference Equations 2019 2019:139

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  6. Content type: Research

    We propose a new chaotic financial system by considering ethics involvement in a four-dimensional financial system with market confidence. We present a five-dimensional conformable derivative financial system ...

    Authors: Baogui Xin, Wei Peng, Yekyung Kwon and Yanqin Liu

    Citation: Advances in Difference Equations 2019 2019:138

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  7. Content type: Research

    Given a function F holomorphic on a neighborhood of some compact subset of the complex plane, we prove that if the zeros of the denominators of generalized Padé approximants (orthogonal Padé approximants and Padé...

    Authors: Nattapong Bosuwan

    Citation: Advances in Difference Equations 2019 2019:137

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  8. Content type: Research

    In this paper, by employing fixed point theory, we investigate the existence and uniqueness of solutions for a class of nonlinear fractional integro-differential equations on semi-infinite domains in a Banach ...

    Authors: Peiguo Zhang, Xinan Hao and Lishan Liu

    Citation: Advances in Difference Equations 2019 2019:135

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  9. Content type: Research

    The state-dependent impulsive dynamical system with boundary constraints is a kind of special but common system in nature. But because of the complexity of the geometry or topological structures of the impulsi...

    Authors: Ling Chen, Zhi Long He, Chuan Dong Li and Hafiz Gulfam Ahmad Umar

    Citation: Advances in Difference Equations 2019 2019:132

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  10. Content type: Research

    In this article, we study a coupled system of singular fractional difference equations with fractional sum boundary conditions. A sufficient condition of the existence of positive solutions is established by e...

    Authors: Chanon Promsakon, Saowaluck Chasreechai and Thanin Sitthiwirattham

    Citation: Advances in Difference Equations 2019 2019:128

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  11. Content type: Research

    This paper is concerned with the stability criteria for a discrete-time linear system with interval time-varying delays. By using the time delay division we construct an augmented Lyapunov–Krasovskii functiona...

    Authors: Daixi Liao, Shouming Zhong, Jun Cheng, Can Zhao, Xiaojun Zhang and Yongbin Yu

    Citation: Advances in Difference Equations 2019 2019:123

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  12. Content type: Research

    In this paper, we propose a fractional form of a new three-dimensional generalized Hénon map and study the existence of chaos and its control. Using bifurcation diagrams, phase portraits and Lyapunov exponents...

    Authors: Lotfi Jouini, Adel Ouannas, Amina-Aicha Khennaoui, Xiong Wang, Giuseppe Grassi and Viet-Thanh Pham

    Citation: Advances in Difference Equations 2019 2019:122

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  13. Content type: Research

    A new approximate technique is introduced to find a solution of FVFIDE with mixed boundary conditions. This paper started from the meaning of Caputo fractional differential operator. The fractional derivatives...

    Authors: Mohamed R. Ali, Adel R. Hadhoud and H. M. Srivastava

    Citation: Advances in Difference Equations 2019 2019:115

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  14. Content type: Research

    Under the assumption that stochastic white noise perturbations are directly proportional to the deviation of the state from the equilibrium states of a continuous mutualistic model, we use the Euler–Maruyama d...

    Authors: Xinyuan Liao and Yuming Chen

    Citation: Advances in Difference Equations 2019 2019:111

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  15. Content type: Research

    The classical linearization problem concerns with determining the coefficients in the expansion of the product of two polynomials in terms of any given sequence of polynomials. As a generalization of this, we ...

    Authors: Taekyun Kim, Dae San Kim, Dmitry V. Dolgy and Dojin Kim

    Citation: Advances in Difference Equations 2019 2019:110

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  16. Content type: Research

    This paper studied the existence and uniqueness of the solution of the fractional logistic differential equation using Hadamard derivative and integral. Previous work has shown that there is not an exact solut...

    Authors: Yves Yannick Yameni Noupoue, Yücel Tandoğdu and Muath Awadalla

    Citation: Advances in Difference Equations 2019 2019:108

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  17. Content type: Research

    In this article, we consider a study of a general class of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers–Ulam (HU) stability. To pro...

    Authors: Hasib Khan, Thabet Abdeljawad, Muhammad Aslam, Rahmat Ali Khan and Aziz Khan

    Citation: Advances in Difference Equations 2019 2019:104

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  18. Content type: Research

    This paper introduces the solution of differential algebraic equations using two hybrid classes and their twin one-leg with improved stability properties. Physical systems of interest in control theory are som...

    Authors: P. Agarwal, Iman H. Ibrahim and Fatma M. Yousry

    Citation: Advances in Difference Equations 2019 2019:103

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  19. Content type: Research

    We consider the multiplicity of positive solutions (PSs) for a coupled system involving nonlinear impulsive fractional differential equations with parameters. By employing the classical Guo–Krasnosel’skii fixe...

    Authors: Kun Wang and Ping Gong

    Citation: Advances in Difference Equations 2019 2019:102

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  20. Content type: Research

    In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems to o...

    Authors: Arshad Ali, Kamal Shah, Fahd Jarad, Vidushi Gupta and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2019 2019:101

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  21. Content type: Research

    A higher-order blended compact difference (BCD) scheme is proposed to solve the general two-dimensional (2D) linear second-order partial differential equation. The distinguishing feature of the present method ...

    Authors: Tingfu Ma and Yongbin Ge

    Citation: Advances in Difference Equations 2019 2019:98

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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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