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  1. This paper is devoted to Kirchhoff-type parabolic problem with nonlocal integral condition. Our problem has many applications in modeling physical and biological phenomena. The first part of our paper concerns...

    Authors: Danh Hua Quoc Nam, Dumitru Baleanu, Nguyen Hoang Luc and Nguyen Huu Can

    Citation: Advances in Difference Equations 2020 2020:617

    Content type: Research

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  2. In this study, a wavelet method is developed to solve a system of nonlinear variable-order (V-O) fractional integral equations using the Chebyshev wavelets (CWs) and the Galerkin method. For this purpose, we d...

    Authors: Y. Yang, M. H. Heydari, Z. Avazzadeh and A. Atangana

    Citation: Advances in Difference Equations 2020 2020:611

    Content type: Research

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  3. Our main purpose in this work is to derive an existence criterion for a Caputo conformable hybrid multi-term integro-differential equation equipped with initial conditions. In this way, we consider a partially...

    Authors: Abdelkader Amara, Sina Etemad and Shahram Rezapour

    Citation: Advances in Difference Equations 2020 2020:608

    Content type: Research

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  4. Motivated by a recent study on certain families of the incomplete H-functions (Srivastava et al. in Russ. J. Math. Phys. 25(1):116–138, 2018), we aim to investigate and develop several interesting properties rela...

    Authors: K. Jangid, R. K. Parmar, R. Agarwal and Sunil D. Purohit

    Citation: Advances in Difference Equations 2020 2020:606

    Content type: Research

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  5. In this paper, a novel dynamical population model of a southern white rhino with legal and illegal poaching activity is introduced. The model constructed is based on a predator–prey model with southern white r...

    Authors: Dipo Aldila, Nadhira Azizah and Bevina D. Handari

    Citation: Advances in Difference Equations 2020 2020:605

    Content type: Research

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  6. We propose and study a stochastic delay single-species population system in polluted environment with psychological effect and pulse toxicant input. We establish sufficient conditions for the extinction, nonpe...

    Authors: Xiangjun Dai, Suli Wang, Weizhi Xiong and Ni Li

    Citation: Advances in Difference Equations 2020 2020:604

    Content type: Research

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  7. In this manuscript, we examine the existence and the Ulam stability of solutions for a class of boundary value problems for nonlinear implicit fractional differential equations with instantaneous impulses in B...

    Authors: Abdelkrim Salim, Mouffak Benchohra, Erdal Karapınar and Jamal Eddine Lazreg

    Citation: Advances in Difference Equations 2020 2020:601

    Content type: Research

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  8. This paper studies two classes of boundary value problems within the generalized Caputo fractional operators. By applying the fixed point result of α-ϕ-Geraghty contractive type mappings, we derive new results on...

    Authors: Hojjat Afshari, Mohammed S. Abdo and Jehad Alzabut

    Citation: Advances in Difference Equations 2020 2020:600

    Content type: Research

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  9. In this article, a new explicit group iterative scheme is developed for the solution of two-dimensional fractional Rayleigh–Stokes problem for a heated generalized second-grade fluid. The proposed scheme is ba...

    Authors: Muhammad Asim Khan, Norhashidah Hj. Mohd Ali and Nur Nadiah Abd Hamid

    Citation: Advances in Difference Equations 2020 2020:598

    Content type: Research

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  10. At present, the research on discrete-time Clifford-valued neural networks is rarely reported. However, the discrete-time neural networks are an important part of the neural network theory. Because the time sca...

    Authors: Yongkun Li and Shiping Shen

    Citation: Advances in Difference Equations 2020 2020:593

    Content type: Research

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  11. Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to ...

    Authors: Danfeng Luo, Akbar Zada, Shaleena Shaleena and Manzoor Ahmad

    Citation: Advances in Difference Equations 2020 2020:590

    Content type: Research

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  12. We present a new mathematical model for the transmission of Zika virus between humans as well as between humans and mosquitoes. In this way, we use the fractional-order Caputo derivative. The region of the fea...

    Authors: Shahram Rezapour, Hakimeh Mohammadi and Amin Jajarmi

    Citation: Advances in Difference Equations 2020 2020:589

    Content type: Research

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  13. In this paper, we study the reasonability of linearized approximation and Hopf bifurcation control for a fractional-order delay Bhalekar–Gejji (BG) chaotic system. Since the current study on Hopf bifurcation f...

    Authors: Jianping Shi and Liyuan Ruan

    Citation: Advances in Difference Equations 2020 2020:588

    Content type: Research

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  14. Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind. Motivated by their work, we introduce degenerat...

    Authors: Sunil Kumar Sharma, Waseem A. Khan, Serkan Araci and Sameh S. Ahmed

    Citation: Advances in Difference Equations 2020 2020:587

    Content type: Research

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  15. Time-fractional nonlinear partial differential equations (TFNPDEs) with proportional delay are commonly used for modeling real-world phenomena like earthquake, volcanic eruption, and brain tumor dynamics. Thes...

    Authors: Alemu Senbeta Bekela, Melisew Tefera Belachew and Getinet Alemayehu Wole

    Citation: Advances in Difference Equations 2020 2020:586

    Content type: Research

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  16. Humans are always exposed to the threat of infectious diseases. It has been proven that there is a direct link between the strength or weakness of the immune system and the spread of infectious diseases such a...

    Authors: Behzad Ghanbari

    Citation: Advances in Difference Equations 2020 2020:585

    Content type: Research

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  17. We provide an effective finite element method to solve the Schrödinger eigenvalue problem with an inverse potential on a spherical domain. To overcome the difficulties caused by the singularities of coefficien...

    Authors: Yubing Sui, Donghao Zhang, Junying Cao and Jun Zhang

    Citation: Advances in Difference Equations 2020 2020:582

    Content type: Research

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  18. We consider a four-dimensional HIV model that includes healthy cells, infected cells, primary cytotoxic T-lymphocyte response (CTLp), and secondary cytotoxic T-lymphocyte response (CTLe). The CTL memory genera...

    Authors: Chunhua Liu and Lei Kong

    Citation: Advances in Difference Equations 2020 2020:581

    Content type: Research

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  19. We study the dynamical properties of a discrete population model with diffusion. We survey the transcritical, pitchfork, and flip bifurcations of nonhyperbolic fixed points by using the center manifold theorem...

    Authors: Ming-Shan Li, Xiao-Liang Zhou and Jiang-Ming Xu

    Citation: Advances in Difference Equations 2020 2020:580

    Content type: Research

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  20. In this study, random linear difference equations obtained by transforming the components of deterministic difference equations to random variables are investigated. Uniform, Bernoulli, binomial, negative bino...

    Authors: Mehmet Merdan and Şeyma Şişman

    Citation: Advances in Difference Equations 2020 2020:579

    Content type: Research

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  21. In the current study, we conduct an investigation into the Hyers–Ulam stability of linear fractional differential equation using the Riemann–Liouville derivatives based on fractional Fourier transform. In addi...

    Authors: Bundit Unyong, Arusamy Mohanapriya, Anumanthappa Ganesh, Grienggrai Rajchakit, Vediyappan Govindan, R. Vadivel, Nallappan Gunasekaran and Chee Peng Lim

    Citation: Advances in Difference Equations 2020 2020:578

    Content type: Research

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  22. In this paper, the global exponential stability and stabilization problems for a class of nonlinear systems are investigated. Some sufficient conditions to guarantee global exponential stable and estimate the ...

    Authors: Jitai Liang and Wanjun Xia

    Citation: Advances in Difference Equations 2020 2020:576

    Content type: Research

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  23. In the article, we introduce the generalized exponentially μ-preinvex function, derive a new q-integral identity for second order q-differentiable function, and establish several new q-trapezoidal type integral i...

    Authors: Muhammad Uzair Awan, Sadia Talib, Artion Kashuri, Muhammad Aslam Noor, Khalida Inayat Noor and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:575

    Content type: Research

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  24. In this paper, we propose a new fractional-order financial model which is a generalized version of the financial model reported in the previous publications. By applying a suitable time-delayed feedback contro...

    Authors: Changjin Xu, Chaouki Aouiti, Maoxin Liao, Peiluan Li and Zixin Liu

    Citation: Advances in Difference Equations 2020 2020:573

    Content type: Research

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  25. In this paper, we study existence and stability results of an anti-periodic boundary value problem of nonlinear delay (pantograph) type implicit fractional differential equations with impulsive conditions. Usi...

    Authors: Arshad Ali, Kamal Shah, Thabet Abdeljawad, Hasib Khan and Aziz Khan

    Citation: Advances in Difference Equations 2020 2020:572

    Content type: Research

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  26. The main aim of this paper is to study distance spaces, to provide some useful remarks with examples regarding distance spaces, and to establish multiple fixed point results for a C-distance space in the presence...

    Authors: Maliha Rashid, Rabia Bibi, Amna Kalsoom, Dumitru Baleanu, Abdul Ghaffar and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2020 2020:571

    Content type: Research

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  27. In this work, we introduce the notion of interval-valued coordinated convexity and demonstrate Hermite–Hadamard type inequalities for interval-valued convex functions on the co-ordinates in a rectangle from th...

    Authors: Dafang Zhao, Muhammad Aamir Ali, Ghulam Murtaza and Zhiyue Zhang

    Citation: Advances in Difference Equations 2020 2020:570

    Content type: Research

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  28. In this paper, we introduce one discrete random variable, namely the negative λ-binomial random variable. We deduce the expectation of the negative λ-binomial random variable. We also get the variance and explici...

    Authors: Yuankui Ma and Taekyun Kim

    Citation: Advances in Difference Equations 2020 2020:569

    Content type: Research

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  29. We prove the existence of tripled fixed points (TFPs) of a new generalized nonlinear contraction mapping in complete cone b-metric spaces (CCbMSs). Also, we present some exciting consequences as corollaries and t...

    Authors: Hasanen A. Hammad and Manuel De La Sen

    Citation: Advances in Difference Equations 2020 2020:567

    Content type: Research

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  30. A spline is a piecewise defined special function that is usually comprised of polynomials of a certain degree. These polynomials are supposed to generate a smooth curve by connecting at given data points. In t...

    Authors: Muhammad Kashif Iqbal, Muhammad Abbas, Tahir Nazir and Nouman Ali

    Citation: Advances in Difference Equations 2020 2020:558

    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