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  1. We investigate the existence of solutions for a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary value conditions. By using Dhage’s fixed point results, we ...

    Authors: Dumitru Baleanu, Sina Etemad and Shahram Rezapour

    Citation: Advances in Difference Equations 2020 2020:250

    Content type: Research

    Published on:

  2. In this manuscript, the fractional Atangana–Baleanu–Caputo model of prey and predator is studied theoretically and numerically. The existence and Ulam–Hyers stability results are obtained by applying fixed poi...

    Authors: Mohammed S. Abdo, Satish K. Panchal, Kamal Shah and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2020 2020:249

    Content type: Research

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  3. This paper aims to study the impact of using an educational strategy on reducing the efforts needed to control respiratory transmitted infections represented by SIR models, taking into account heterogeneity in...

    Authors: Muntaser Safan

    Citation: Advances in Difference Equations 2020 2020:248

    Content type: Research

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  4. The aim of this paper is to study Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers of the first and second kinds. For this purpose, we first introduce Jindalrae–Stirl...

    Authors: Taekyun Kim, Dae San Kim, Lee-Chae Jang and Hyunseok Lee

    Citation: Advances in Difference Equations 2020 2020:245

    Content type: Research

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  5. Işık et al. (Mathematics 7:862, 2019) presented an interesting generalization of the Banach contraction principle. In this paper, motivated by Işık et al., we give a new extension of the well-known Darbo inequali...

    Authors: Vahid Parvaneh, Maryam Khorshidi, Manuel De La Sen, Hüseyin Işık and Mohammad Mursaleen

    Citation: Advances in Difference Equations 2020 2020:243

    Content type: Research

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  6. In this paper, we study a coupled system of generalized Sturm–Liouville problems and Langevin fractional differential equations described by Atangana–Baleanu–Caputo (ABC for short) derivatives whose formulatio...

    Authors: D. Baleanu, J. Alzabut, J. M. Jonnalagadda, Y. Adjabi and M. M. Matar

    Citation: Advances in Difference Equations 2020 2020:239

    Content type: Research

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  7. In this paper, we prpose a single-species stage structure model with Michaelis–Menten-type harvesting for mature population. We investigate the existence of all possible equilibria of the system and discuss th...

    Authors: Xiangqin Yu, Zhenliang Zhu, Liyun Lai and Fengde Chen

    Citation: Advances in Difference Equations 2020 2020:238

    Content type: Research

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  8. A Lotka–Volterra predator–prey system incorporating fear effect of the prey and the predator has other food resource is proposed and studied in this paper. It is shown that the trivial equilibrium and the pred...

    Authors: Zhenliang Zhu, Runxin Wu, Liyun Lai and Xiangqin Yu

    Citation: Advances in Difference Equations 2020 2020:237

    Content type: Research

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  9. The aim of this work is to investigate the Wick-type stochastic nonlinear evolution equations with conformable derivatives. The general Kudryashov method is improved by a new auxiliary equation. So, a new tech...

    Authors: Abd-Allah Hyder

    Citation: Advances in Difference Equations 2020 2020:236

    Content type: Research

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  10. Our main goal in this work is to derive the frequency Laplace transforms of the products of two and three functions with tuning factors. We propose the Laplace transform for certain types of multiseries of cir...

    Authors: Meganathan Murugesan, Thabet Abdeljawad, Britto Antony Xavier Gnanaprakasam and Fahd Jarad

    Citation: Advances in Difference Equations 2020 2020:234

    Content type: Research

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  11. In this article, an unconditionally stable compact high-order iterative finite difference scheme is developed on solving the two-dimensional fractional Rayleigh–Stokes equation. A relationship between the Riem...

    Authors: Muhammad Asim Khan and Norhashidah Hj. Mohd Ali

    Citation: Advances in Difference Equations 2020 2020:233

    Content type: Research

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  12. In this paper, consider the eminent coupled Boussinesq–Burger (BB) equations and the coupled Whitham–Broer–Kaup (WBK) equations with time fractional derivative arising in the investigation of shallow water wav...

    Authors: Altaf A. Al-Shawba, Farah A. Abdullah, Amirah Azmi and M. Ali Akbar

    Citation: Advances in Difference Equations 2020 2020:232

    Content type: Research

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  13. We study the existence of nonoscillatory solutions tending to zero of a class of third-order nonlinear neutral dynamic equations on time scales by employing Krasnoselskii’s fixed point theorem. Two examples ar...

    Authors: Yang-Cong Qiu, Irena Jadlovská, Kuo-Shou Chiu and Tongxing Li

    Citation: Advances in Difference Equations 2020 2020:231

    Content type: Research

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  14. In this paper, by using the confluent hypergeometric function of the first kind, we propose a further extension of the Voigt function and obtain its useful properties as (for example) explicit representation a...

    Authors: Nabiullah Khan, Mohd Ghayasuddin, Waseem A. Khan, Thabet Abdeljawad and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2020 2020:229

    Content type: Research

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  15. This paper utilizes the 0–1 test algorithm to identify chaos in a fractional chaotic map. A fractional Burgers map is proposed by means of the Caputo-like delta difference operator. The bifurcation diagrams, p...

    Authors: Jie Ran

    Citation: Advances in Difference Equations 2020 2020:228

    Content type: Research

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  16. We prove an existence result for systems of differential inclusions driven by multivalued mappings which need not assume closed or convex values everywhere, and need not be semicontinuous everywhere. Moreover,...

    Authors: Rodrigo López Pouso, Ignacio Márquez Albés and Jorge Rodríguez-López

    Citation: Advances in Difference Equations 2020 2020:227

    Content type: Research

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  17. In a recent paper (Filomat 32:4577–4586, 2018) the authors have investigated the existence and uniqueness of a solution for a nonlinear sequential fractional differential equation. To present an analytical improv...

    Authors: Zahra Ahmadi, Rahmatollah Lashkaripour, Hamid Baghani, Shapour Heidarkhani and Giuseppe Caristi

    Citation: Advances in Difference Equations 2020 2020:226

    Content type: Research

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  18. In this research, we present the stability analysis of a fractional differential equation of a generalized Liouville–Caputo-type (Katugampola) via the Hilfer fractional derivative with a nonlocal integral boun...

    Authors: Idris Ahmed, Poom Kumam, Fahd Jarad, Piyachat Borisut, Kanokwan Sitthithakerngkiet and Alhassan Ibrahim

    Citation: Advances in Difference Equations 2020 2020:225

    Content type: Research

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  19. We apply the analytic method and the properties of the classical Gauss sums to study the computational problem of a certain hybrid power mean of the trigonometric sums and to prove several new mean value formu...

    Authors: Li Chen and Zhuoyu Chen

    Citation: Advances in Difference Equations 2020 2020:220

    Content type: Research

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  20. We review the existence of solutions for a three-point nonlinear q-fractional differential equation and also its related inclusion. In this way, we use α-ψ-contractions and multifunctions. Also, we provide two ex...

    Authors: Sina Etemad, Shahram Rezapour and Mohammad Esmael Samei

    Citation: Advances in Difference Equations 2020 2020:218

    Content type: Research

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  21. We introduce new operators, the so-called left and right generalized conformable fractional integral operators. By using these operators we establish new Hermite–Hadamard inequalities for s-convex functions and p...

    Authors: Artion Kashuri, Sajid Iqbal, Rozana Liko, Wei Gao and Muhammad Samraiz

    Citation: Advances in Difference Equations 2020 2020:217

    Content type: Research

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  22. In this paper, we propose a simple network consisting of only two nodes and two paths. The first node, which is called the source, has three competing firms that send their quantities of load via the two paths...

    Authors: S. S. Askar and A. Al-khedhairi

    Citation: Advances in Difference Equations 2020 2020:216

    Content type: Research

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  23. In this paper, we consider the initial-boundary value problem of two-dimensional isentropic compressible Navier–Stokes equations with vacuum on the square domain. Based on the time-weighted uniform estimates, ...

    Authors: Wei Li, Zhaoyang Shang and Fuquan Tang

    Citation: Advances in Difference Equations 2020 2020:214

    Content type: Research

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  24. This paper is devoted to the uniqueness of q-difference-differential polynomials of different types. Using the idea of common zeros and common poles (Chin. Ann. Math., Ser. A 35:675–684, 2014), we improve the con...

    Authors: Jian Li and Kai Liu

    Citation: Advances in Difference Equations 2020 2020:212

    Content type: Research

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  25. In this work, we study the problem to identify an unknown source term for the Atangana–Baleanu fractional derivative. In general, the problem is severely ill-posed in the sense of Hadamard. We have applied the...

    Authors: Nguyen Huu Can, Nguyen Hoang Luc, Dumitru Baleanu, Yong Zhou and Le Dinh Long

    Citation: Advances in Difference Equations 2020 2020:210

    Content type: Research

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  26. Fractional difference equations have become important due to their qualitative properties and applications in discrete modeling. Stability analysis of solutions is one of the most widely used qualitative prope...

    Authors: Rabia Ilyas Butt, Thabet Abdeljawad and Mujeeb ur Rehman

    Citation: Advances in Difference Equations 2020 2020:209

    Content type: Research

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  27. The primary objective of this research paper is to investigate two kinds of high-order tempered fractional differential equations integral boundary value problems. By means of the mixed monotone operators fixe...

    Authors: Bibo Zhou, Lingling Zhang, Nan Zhang and Emmanuel Addai

    Citation: Advances in Difference Equations 2020 2020:208

    Content type: Research

    Published on:

  28. In this paper, we use the Hirota bilinear method for investigating the third-order evolution equation to determining the soliton-type solutions. The M lump solutions along with different types of graphs including...

    Authors: Onur Alp Ilhan, Jalil Manafian, As’ad Alizadeh and Sizar Abid Mohammed

    Citation: Advances in Difference Equations 2020 2020:207

    Content type: Research

    Published on:

  29. The economic order quantity (EOQ) is the order quantity that minimizes the total holding costs and ordering costs. In this effort, we propose a design for EOQ by employing a conformable differential-difference...

    Authors: Rabha W. Ibrahim, Rafida M. Elobaid and Suzan J. Obaiys

    Citation: Advances in Difference Equations 2020 2020:205

    Content type: Research

    Published on:

  30. The aim of this work is to develop a novel explicit unconditionally positivity preserving finite difference (FD) scheme and an implicit positive FD scheme for the numerical solution of dengue epidemic reaction...

    Authors: Nauman Ahmed, Muhammad Rafiq, Dumitru Baleanu, Ali Saleh Alshomrani and Muhammad Aziz-ur Rehman

    Citation: Advances in Difference Equations 2020 2020:202

    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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