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  1. In this work, the exponential growth of solutions for a coupled nonlinear Klein–Gordon system with distributed delay, strong damping, and source terms is proved. Take into consideration some suitable assumptions.

    Authors: Abdelaziz Rahmoune, Djamel Ouchenane, Salah Boulaaras and Praveen Agarwal

    Citation: Advances in Difference Equations 2020 2020:335

    Content type: Research

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  2. In this work, optimal control for a fractional-order nonlinear mathematical model of cancer treatment is presented. The suggested model is determined by a system of eighteen fractional differential equations. ...

    Authors: Nasser Hassan Sweilam, Seham Mahyoub Al-Mekhlafi, Taghreed Assiri and Abdon Atangana

    Citation: Advances in Difference Equations 2020 2020:334

    Content type: Research

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  3. In this paper, we present a new bound for the Jensen gap with the help of a Green function. Using the bound, we deduce a converse of the Hölder inequality as well. Finally, we present some applications of the ...

    Authors: Shahid Khan, Muhammad Adil Khan, Saad Ihsan Butt and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:333

    Content type: Research

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  4. This work mainly investigates a class of convex interval-valued functions via the Katugampola fractional integral operator. By considering the p-convexity of the interval-valued functions, we establish some integ...

    Authors: Thabet Abdeljawad, Saima Rashid, Hasib Khan and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:330

    Content type: Research

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  5. Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo ...

    Authors: Idris Ahmed, Poom Kumam, Fahd Jarad, Piyachat Borisut and Wachirapong Jirakitpuwapat

    Citation: Advances in Difference Equations 2020 2020:329

    Content type: Research

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  6. The prevalence of the use of mathematical software has dramatically influenced the evolution of differential equations. The use of these useful tools leads to faster advances in the presentation of numerical a...

    Authors: Behzad Ghanbari, Kottakkaran Sooppy Nisar and Mujahed Aldhaifallah

    Citation: Advances in Difference Equations 2020 2020:328

    Content type: Research

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  7. In this work, we investigate the fuzzy Adomian decomposition method (ADM) and fuzzy variational iteration method (VIM) applied to solving fuzzy heat-like and wave-like equations with variable coefficients, in ...

    Authors: Mawia Osman, Zengtai Gong and Altyeb Mohammed Mustafa

    Citation: Advances in Difference Equations 2020 2020:327

    Content type: Research

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  8. Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric funct...

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

    Citation: Advances in Difference Equations 2020 2020:325

    Content type: Research

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  9. We propose and study a Lotka–Volterra predator–prey system incorporating both Michaelis–Menten-type prey harvesting and fear effect. By qualitative analysis of the eigenvalues of the Jacobian matrix we study t...

    Authors: Liyun Lai, Xiangqin Yu, Mengxin He and Zhong Li

    Citation: Advances in Difference Equations 2020 2020:320

    Content type: Research

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  10. The objective of this work is to advance and simplify the notion of Gronwall’s inequality. By using an efficient partial order and concept of gH-differentiability on interval-valued functions, we investigate s...

    Authors: Awais Younus, Muhammad Asif, Jehad Alzabut, Abdul Ghaffar and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2020 2020:319

    Content type: Research

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  11. The work reported in this paper deals with the study of a coupled system for fractional terminal value problems involving ψ-Hilfer fractional derivative. The existence and uniqueness theorems to the problem at ha...

    Authors: Mohammed S. Abdo, Kamal Shah, Satish K. Panchal and Hanan A. Wahash

    Citation: Advances in Difference Equations 2020 2020:316

    Content type: Research

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  12. This paper provides a numerical approach for solving the time-fractional Fokker–Planck equation (FFPE). The authors use the shifted Chebyshev collocation method and the finite difference method (FDM) to presen...

    Authors: Haile Habenom and D. L. Suthar

    Citation: Advances in Difference Equations 2020 2020:315

    Content type: Research

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  13. This work studies the blow-up result of the solution of a coupled nonlocal singular viscoelastic equation with general source and localized frictional damping terms under some suitable conditions. This work is...

    Authors: Salah Boulaaras, Abdelbaki Choucha, Djamel Ouchenane and Bahri Cherif

    Citation: Advances in Difference Equations 2020 2020:310

    Content type: Research

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  14. In this article, we present some new properties of the fractional proportional derivatives of a function with respect to a certain function. We use a modified Laplace transform to find the relation between the...

    Authors: Fahd Jarad, Thabet Abdeljawad, Saima Rashid and Zakia Hammouch

    Citation: Advances in Difference Equations 2020 2020:303

    Content type: Research

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  15. In this manuscript, the existence of solutions for a novel category of the fractional differential equation of hybrid type with hybrid boundary value conditions is studied. Also, we review the existence result...

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

    Citation: Advances in Difference Equations 2020 2020:302

    Content type: Research

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  16. It is well known that the Sturm–Liouville equation has many applications in different areas of science. Thus, it is important to review different versions of the well-known equation. The technique of α-admissible...

    Authors: Zohreh Zeinalabedini Charandabi, Shahram Rezapour and Mina Ettefagh

    Citation: Advances in Difference Equations 2020 2020:301

    Content type: Research

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  17. In this article, we deals with the existence and uniqueness of positive solutions of general non-linear fractional differential equations (FDEs) having fractional derivative of different orders involving p-Lap...

    Authors: Amita Devi, Anoop Kumar, Dumitru Baleanu and Aziz Khan

    Citation: Advances in Difference Equations 2020 2020:300

    Content type: Research

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  18. We present a fractional-order model for the COVID-19 transmission with Caputo–Fabrizio derivative. Using the homotopy analysis transform method (HATM), which combines the method of homotopy analysis and Laplac...

    Authors: Dumitru Baleanu, Hakimeh Mohammadi and Shahram Rezapour

    Citation: Advances in Difference Equations 2020 2020:299

    Content type: Research

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  19. In this paper, we introduce the r-central factorial numbers with even indices of the first and second kind as extended versions of the central factorial numbers with even indices of both kinds. We obtain several ...

    Authors: F. A. Shiha

    Citation: Advances in Difference Equations 2020 2020:298

    Content type: Research

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  20. Integral operators have a very vital role in diverse fields of science and engineering. In this paper, we use φ-convex functions for unified integral operators to obtain their upper bounds and upper and lower bou...

    Authors: Young Chel Kwun, Moquddsa Zahra, Ghulam Farid, Saira Zainab and Shin Min Kang

    Citation: Advances in Difference Equations 2020 2020:297

    Content type: Research

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  21. In this paper, we aim to study a nonlocal Robin boundary value problem for fractional sequential fractional Hahn-q-equation. The existence and uniqueness results for this problem are revealed by using the Banach ...

    Authors: Thongchai Dumrongpokaphan, Nichaphat Patanarapeelert and Thanin Sitthiwirattham

    Citation: Advances in Difference Equations 2020 2020:294

    Content type: Research

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  22. We study the existence and nonexistence of positive solutions for a system of Riemann–Liouville fractional differential equations with p-Laplacian operators, nonnegative nonlinearities and positive parameters, su...

    Authors: Alexandru Tudorache and Rodica Luca

    Citation: Advances in Difference Equations 2020 2020:292

    Content type: Research

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  23. Recently, Wu (Mathematics 6(11):219, 2018; Mathematics 6(6):90, 2018) introduced the concept of a near-fixed point and established some results on near fixed points in a metric interval space and hyperspace. Moti...

    Authors: Misbah Ullah, Muhammad Sarwar, Hasib Khan, Thabet Abdeljawad and Aziz Khan

    Citation: Advances in Difference Equations 2020 2020:291

    Content type: Research

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  24. This paper proposes a new effective pseudo-spectral approximation to solve the Sylvester and Lyapunov matrix differential equations. The properties of the Chebyshev basis operational matrix of derivative are a...

    Authors: Kazem Nouri, Samaneh Panjeh Ali Beik, Leila Torkzadeh and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:287

    Content type: Research

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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