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  1. In this paper, we consider a class of Clifford-valued neutral-type neural networks with leakage delays on time scales. We do not decompose the networks under consideration into real-valued systems, but we dire...

    Authors: Shiping Shen and Yongkun Li

    Citation: Advances in Difference Equations 2020 2020:286

    Content type: Research

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  2. Temperature is one of the integral environmental drivers that strongly affect the distribution and density of tsetse fly population. Precisely, ectotherm performance measures, such as development rate, surviva...

    Authors: Mlyashimbi Helikumi, Moatlhodi Kgosimore, Dmitry Kuznetsov and Steady Mushayabasa

    Citation: Advances in Difference Equations 2020 2020:284

    Content type: Research

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  3. A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivis...

    Authors: Ghulam Mustafa, Syeda Tehmina Ejaz, Dumitru Baleanu, Abdul Ghaffar and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2020 2020:282

    Content type: Research

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  4. In this paper, we present some weakly compatible and quasi-contraction results for self-mappings in fuzzy cone metric spaces and prove some coincidence point and common fixed point theorems in the said space. ...

    Authors: Shamoona Jabeen, Saif Ur Rehman, Zhiming Zheng and Wei Wei

    Citation: Advances in Difference Equations 2020 2020:280

    Content type: Research

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  5. In this paper, we study boundary value problems, involving the Hilfer fractional derivative, for pantograph fractional differential equations and inclusions supplemented by nonlocal integral boundary condition...

    Authors: Athasit Wongcharoen, Sotiris K. Ntouyas and Jessada Tariboon

    Citation: Advances in Difference Equations 2020 2020:279

    Content type: Research

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  6. In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynom...

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

    Citation: Advances in Difference Equations 2020 2020:278

    Content type: Research

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  7. In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Had...

    Authors: Shuang-Shuang Zhou, Saima Rashid, Fahd Jarad, Humaira Kalsoom and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:275

    Content type: Research

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  8. We investigate the existence of solutions for a Caputo–Hadamard fractional integro-differential equation with boundary value conditions involving the Hadamard fractional operators via different orders. By usin...

    Authors: Sina Etemad, Shahram Rezapour and Fethiye Muge Sakar

    Citation: Advances in Difference Equations 2020 2020:272

    Content type: Research

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  9. In this paper, we discuss the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear multi-term fractional differential equations and propose a new method to obtain ...

    Authors: KyuNam O, KumSong Jong, SunAe Pak and HuiChol Choi

    Citation: Advances in Difference Equations 2020 2020:271

    Content type: Research

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  10. We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Ben...

    Authors: Mostafa M. A. Khater and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:268

    Content type: Research

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  11. In this article, several interesting properties of the incomplete I-functions associated with the Marichev–Saigo–Maeda (MSM) fractional operators are studied and investigated. It is presented that the order of th...

    Authors: Kamlesh Jangid, Sanjay Bhatter, Sapna Meena, Dumitru Baleanu, Maysaa Al Qurashi and Sunil Dutt Purohit

    Citation: Advances in Difference Equations 2020 2020:265

    Content type: Research

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  12. The celebrated Hermite–Hadamard and Ostrowski type inequalities have been studied extensively since they have been established. We find novel versions of the Hermite–Hadamard and Ostrowski type inequalities fo...

    Authors: Saima Rashid, İmdat İşcan, Dumitru Baleanu and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:264

    Content type: Research

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  13. In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer t...

    Authors: Shupeng Zhao, Saad Ihsan Butt, Waqas Nazeer, Jamshed Nasir, Muhammad Umar and Ya Liu

    Citation: Advances in Difference Equations 2020 2020:262

    Content type: Research

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  14. In this paper, the development of new hybrid group iterative methods for the numerical solution of a two-dimensional time-fractional cable equation is presented. We use Laplace transform method to approximate ...

    Authors: Fouad Mohammad Salama, Norhashidah Hj. Mohd. Ali and Nur Nadiah Abd Hamid

    Citation: Advances in Difference Equations 2020 2020:257

    Content type: Research

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  15. In this paper, we consider an inverse problem of identifying the source term for a generalization of the time-fractional diffusion equation, where regularized hyper-Bessel operator is used instead of the time ...

    Authors: Nguyen Hoang Luc, Le Nhat Huynh, Dumitru Baleanu and Nguyen Huu Can

    Citation: Advances in Difference Equations 2020 2020:261

    Content type: Research

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  16. In this paper, we build a mathematical model to study the impact of external removable devices on a network with weakly- and strongly-protected computers. The model describes the dynamics between weak, strong,...

    Authors: Salma M. Al-Tuwairqi and Walaa Bahashwan

    Citation: Advances in Difference Equations 2020 2020:260

    Content type: Research

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  17. We introduce an effective iterative method for solving rectangular linear systems, based on gradients along with the steepest descent optimization. We show that the proposed method is applicable with any initi...

    Authors: Adisorn Kittisopaporn and Pattrawut Chansangiam

    Citation: Advances in Difference Equations 2020 2020:259

    Content type: Research

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  18. In this paper, we use a new powerful technique of arbitrary-order fractional (AOF) characteristic method (CM) to solve the AOF hyperbolic nonlinear scalar conservation law (HNSCL) of time and space. We present...

    Authors: S. M. Reza Shirkhorshidi, D. Rostamy, W. A. M. Othman and M. A. Omar Awang

    Citation: Advances in Difference Equations 2020 2020:253

    Content type: Research

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  19. In this article, we suggest a new notion of fractional derivative involving two singular kernels. Some properties related to this new operator are established and some examples are provided. We also present so...

    Authors: Dumitru Baleanu, Mohamed Jleli, Sunil Kumar and Bessem Samet

    Citation: Advances in Difference Equations 2020 2020:252

    Content type: Research

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  20. 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

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  21. 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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  22. 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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  23. 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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  24. 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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  25. 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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  26. 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

    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