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  1. We introduce a new iterative method for finding a common element of the set of fixed points of pseudo-contractive mapping, the set of solutions to a variational inclusion and the set of solutions to a generali...

    Authors: Shahram Rezapour and Seyyed Hasan Zakeri

    Citation: Advances in Difference Equations 2020 2020:462

    Content type: Research

    Published on:

  2. In this work, new theorems and results related to fixed point theory are presented. The results obtained are used for the sake of proving the existence and uniqueness of a positive solution of a coupled system...

    Authors: Hojjat Afshari, Fahd Jarad and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2020 2020:461

    Content type: Research

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  3. In this article we have considered a fractional order impulsive integro-differential equation (IDE) in Caputo’s sense for the unique solution and data dependence results. We take help of the Banach fixed point...

    Authors: Hasib Khan, Zareen A. Khan, Haleh Tajadodi and Aziz Khan

    Citation: Advances in Difference Equations 2020 2020:458

    Content type: Research

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  4. In this paper, general decay synchronization of delayed bidirectional associative memory neural networks with reaction–diffusion terms is studied. First, a useful lemma is introduced to determine the general d...

    Authors: Rouzimaimaiti Mahemuti, Azhar Halik and Abdujelil Abdurahman

    Citation: Advances in Difference Equations 2020 2020:457

    Content type: Research

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  5. A human being standing upright with his feet as the pivot is the most popular example of the stabilized inverted pendulum. Achieving stability of the inverted pendulum has become common challenge for engineers...

    Authors: A. G. M. Selvam, D. Baleanu, J. Alzabut, D. Vignesh and S. Abbas

    Citation: Advances in Difference Equations 2020 2020:456

    Content type: Research

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  6. In the present research article, we find some important criteria on the existence of solutions for a class of the hybrid fractional Caputo–Hadamard differential equations and its corresponding inclusion proble...

    Authors: Hakimeh Mohammadi, Shahram Rezapour and Sina Etemad

    Citation: Advances in Difference Equations 2020 2020:455

    Content type: Research

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  7. The aim of this work is to study qualitative properties of solutions for a fourth-order neutral nonlinear differential equation, driven by a p-Laplace differential operator. Some oscillation criteria for the equa...

    Authors: Omar Bazighifan and A. F. Aljohani

    Citation: Advances in Difference Equations 2020 2020:454

    Content type: Research

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  8. Iterative algorithms are widely applied to solve convex optimization problems under a suitable set of constraints. In this paper, we develop an iterative algorithm whose architecture comprises a modified versi...

    Authors: Yasir Arfat, Poom Kumam, Parinya Sa Ngiamsunthorn and Muhammad Aqeel Ahmad Khan

    Citation: Advances in Difference Equations 2020 2020:453

    Content type: Research

    Published on:

  9. We investigate the existence of solutions for an increasing variables singular m-dimensional system of fractional q-differential equations on a time scale. In this singular system, the first equation has two vari...

    Authors: Mohammad Esmael Samei, Dumitru Baleanu and Shahram Rezapour

    Citation: Advances in Difference Equations 2020 2020:452

    Content type: Research

    Published on:

  10. Acknowledging many effects on humans, which are ignored in deterministic models for COVID-19, in this paper, we consider stochastic mathematical model for COVID-19. Firstly, the formulation of a stochastic sus...

    Authors: Zizhen Zhang, Anwar Zeb, Sultan Hussain and Ebraheem Alzahrani

    Citation: Advances in Difference Equations 2020 2020:451

    Content type: Research

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  11. Recently, Hoffman (Commun. Number Theory Phys. 13:529–567, 2019), Kaneko and Tsumura (Tsukuba J. Math. (in press), 2020) introduced and systematically studied two variants of multiple zeta values of level two, i....

    Authors: Junjie Quan

    Citation: Advances in Difference Equations 2020 2020:450

    Content type: Research

    Published on:

  12. This article deals with the sequential conformable linear equations. We have focused on the solution techniques of these equations and particularly on the controllability conditions of the time-invariant syste...

    Authors: Awais Younas, Thabet Abdeljawad, Rida Batool, Anum Zehra and Manar A. Alqudah

    Citation: Advances in Difference Equations 2020 2020:449

    Content type: Research

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  13. In this paper, we present a stochastic eutrophication-chemostat model with impulsive dredging and pulse inputting on environmental toxicant. The sufficient condition for the extinction of microorganisms is obt...

    Authors: Jianjun Jiao and Qiuhua Li

    Citation: Advances in Difference Equations 2020 2020:447

    Content type: Research

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  14. We consider a fractional difference-sum boundary problem for a system of fractional difference equations with parameters. Using the Banach fixed point theorem, we prove the existence and uniqueness of solution...

    Authors: Pimchana Siricharuanun, Saowaluck Chasreechai and Thanin Sitthiwirattham

    Citation: Advances in Difference Equations 2020 2020:445

    Content type: Research

    Published on:

  15. Recently, degenerate polylogarithm functions were introduced by Kim and Kim. In this paper, we introduce degenerate poly-Bernoulli polynomials by means of the degenerate polylogarithm functions and investigate...

    Authors: Taekyun Kim, Dansan Kim, Han-Young Kim, Hyunseok Lee and Lee-Chae Jang

    Citation: Advances in Difference Equations 2020 2020:444

    Content type: Research

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  16. In this work, the aim is to discuss a new class of singular nonlinear higher-order fractional boundary value problems involving multiple Riemann–Liouville fractional derivatives. The boundary conditions are co...

    Authors: Lishan Liu, Dandan Min and Yonghong Wu

    Citation: Advances in Difference Equations 2020 2020:442

    Content type: Research

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  17. In this paper, we will prove some new dynamic inequalities of Hardy-type on time scales. Some of the integral and difference inequalities that will be derived from our results in the continuous and discrete ca...

    Authors: Ahmed A. El-Deeb, Hamza A. Elsennary and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:441

    Content type: Research

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  18. Virotherapy is a therapeutic treatment for cancer. It uses genetically engineered viruses to selectively infect, replicate in, and destroy cancer cells without damaging normal cells. In this paper, we present ...

    Authors: Salma M. Al-Tuwairqi, Najwa O. Al-Johani and Eman A. Simbawa

    Citation: Advances in Difference Equations 2020 2020:438

    Content type: Research

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  19. In this paper, the extended Kalman filtering scheme in a distributed manner is presented for state-saturated nonlinear systems (SSNSs), where the randomly occurring cyberattacks (ROCAs) with uncertain occurrin...

    Authors: Jiaxing Li, Jun Hu, Dongyan Chen and Zhihui Wu

    Citation: Advances in Difference Equations 2020 2020:437

    Content type: Research

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  20. In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set...

    Authors: Ashish Kumar, Harsh Vardhan Singh Chauhan, Chokkalingam Ravichandran, Kottakkaran Sooppy Nisar and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:434

    Content type: Research

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  21. In this paper, we will analyze the Regularized Long Wave-Burgers equation with conformable derivative (cd). Some white noise functional solutions for this equation are obtained by using white noise analysis, H...

    Authors: Zeliha Korpinar, Mustafa Inc, Ali S. Alshomrani and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:433

    Content type: Research

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  22. Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the ...

    Authors: Ugur Duran, Mehmet Acikgoz and Serkan Araci

    Citation: Advances in Difference Equations 2020 2020:432

    Content type: Research

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  23. In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We...

    Authors: Nouman Siddique, Muhammad Imran, Khuram Ali Khan and Josip Pečarić

    Citation: Advances in Difference Equations 2020 2020:430

    Content type: Research

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  24. An effective and robust scheme is developed for solutions of two-dimensional time fractional heat flow problems. The proposed scheme is based on two-dimensional Haar wavelets coupled with finite differences. T...

    Authors: Abdul Ghafoor, Sirajul Haq, Manzoor Hussain and Poom Kumam

    Citation: Advances in Difference Equations 2020 2020:429

    Content type: Research

    Published on:

  25. Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Mat...

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

    Citation: Advances in Difference Equations 2020 2020:428

    Content type: Research

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  26. In this paper, a nonlinear mathematical model with diffusion is taken into account to review the dynamics of Lengyel–Epstein chemical reaction model to describe the oscillating chemical reactions. For this pur...

    Authors: Zain Ul Abadin Zafar, Zahir Shah, Nigar Ali, Poom Kumam and Ebraheem O. Alzahrani

    Citation: Advances in Difference Equations 2020 2020:427

    Content type: Research

    Published on:

  27. In the present paper, we formulate a new mathematical model for the dynamics of COVID-19 with quarantine and isolation. Initially, we provide a brief discussion on the model formulation and provide relevant ma...

    Authors: Muhammad Altaf Khan, Abdon Atangana, Ebraheem Alzahrani and Fatmawati

    Citation: Advances in Difference Equations 2020 2020:425

    Content type: Research

    Published on:

  28. In this article, we establish a new generalized q-integral identity involving a q-differentiable function. Using this new auxiliary result, we obtain some new associated quantum bounds essentially using the class...

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

    Citation: Advances in Difference Equations 2020 2020:424

    Content type: Research

    Published on:

  29. The present paper deals with reconstruction of Gamma operators preserving some exponential functions and studies their approximation properties: uniform convergence, rate of convergence, asymptotic formula and...

    Authors: Tuncer Acar, Mohammad Mursaleen and Serife Nur Deveci

    Citation: Advances in Difference Equations 2020 2020:423

    Content type: Research

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  30. In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the den...

    Authors: Fatmawati, Muhammad Altaf Khan, Cicik Alfiniyah and Ebraheem Alzahrani

    Citation: Advances in Difference Equations 2020 2020:422

    Content type: Research

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  31. The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator containing extended Mittag-Leffler function via monotone func...

    Authors: Yongsheng Rao, Muhammad Yussouf, Ghulam Farid, Josip Pečarić and Iskander Tlili

    Citation: Advances in Difference Equations 2020 2020:421

    Content type: Research

    Published on:

  32. In this work, we formulate and analyze a new mathematical model for COVID-19 epidemic with isolated class in fractional order. This model is described by a system of fractional-order differential equations mod...

    Authors: Zizhen Zhang, Anwar Zeb, Oluwaseun Francis Egbelowo and Vedat Suat Erturk

    Citation: Advances in Difference Equations 2020 2020:420

    Content type: Review

    Published on:

  33. In this manuscript, we study the existence of solutions for a coupled system of nonlinear hybrid differential equations of fractional order involving Hadamard derivative with nonlocal boundary conditions. By u...

    Authors: Karthikeyan Buvaneswari, Panjaiyan Karthikeyan and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:419

    Content type: Research

    Published on:

  34. In this paper, we establish and examine a mathematical model that combines the effects of vitamins intervention on strengthening the immune system and its role in suppressing and delaying the growth and divisi...

    Authors: Sana Abdulkream Alharbi and Azmin Sham Rambely

    Citation: Advances in Difference Equations 2020 2020:412

    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