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  1. In this paper, we consider a new coupled system of fractional boundary value problems based on the thermostat control model. With the help of fixed point theory, we investigate the existence criterion of the s...

    Authors: Sina Etemad, Brahim Tellab, Jehad Alzabut, Shahram Rezapour and Mohamed Ibrahim Abbas

    Citation: Advances in Difference Equations 2021 2021:428

    Content type: Research

    Published on:

  2. The main objective of this paper is to investigate the existence, uniqueness, and Ulam–Hyers stability of positive solutions for fractional integro-differential boundary values problem. Uniqueness result is ob...

    Authors: Mohammed M. Matar, Manar abu Jarad, Manzoor Ahmad, Akbar Zada, Sina Etemad and Shahram Rezapour

    Citation: Advances in Difference Equations 2021 2021:423

    Content type: Research

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  3. The aim of this paper is to introduce the degenerate generalized Laguerre polynomials as the degenerate version of the generalized Laguerre polynomials and to derive some properties related to those polynomial...

    Authors: Taekyun Kim, Dmitry V. Dolgy, Dae San Kim, Hye Kyung Kim and Seong Ho Park

    Citation: Advances in Difference Equations 2021 2021:421

    Content type: Research

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  4. Recently, Kim et al. (Adv. Differ. Equ. 2020:168, 2020) considered the poly-Bernoulli numbers and polynomials resulting from the moderated version of degenerate polyexponential functions. In this paper, we invest...

    Authors: Waseem A. Khan, Ghulam Muhiuddin, Abdulghani Muhyi and Deena Al-Kadi

    Citation: Advances in Difference Equations 2021 2021:420

    Content type: Research

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  5. In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous ...

    Authors: Tariq A. Aljaaidi, Deepak B. Pachpatte, Wasfi Shatanawi, Mohammed S. Abdo and Kamaleldin Abodayeh

    Citation: Advances in Difference Equations 2021 2021:419

    Content type: Research

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  6. The main purpose of this paper is to present some fixed-point results for a pair of fuzzy dominated mappings which are generalized V-contractions in modular-like metric spaces. Some theorems using a partial order...

    Authors: Tahair Rasham, Awais Asif, Hassen Aydi and Manuel De La Sen

    Citation: Advances in Difference Equations 2021 2021:417

    Content type: Research

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  7. In this article, we consider a temporally second-order unconditionally energy stable computational method for the Allen–Cahn (AC) equation with a high-order polynomial free energy potential. By modifying the n...

    Authors: Junseok Kim and Hyun Geun Lee

    Citation: Advances in Difference Equations 2021 2021:416

    Content type: Research

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  8. In this work, we solve the system of integro-differential equations (in terms of Caputo–Fabrizio calculus) using the concepts of the best proximity pair (point) and measure of noncompactness. We first introduc...

    Authors: Anupam Das, Hemant Kumar Nashine, Rabha W. Ibrahim and Manuel De la Sen

    Citation: Advances in Difference Equations 2021 2021:414

    Content type: Research

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  9. In this work, we aim at studying the asymptotic and oscillatory behavior of even-order neutral delay noncanonical differential equations. To the best of our knowledge, most of the related previous works are co...

    Authors: Elmetwally M. Elabbasy, Osama Moaaz, Higinio Ramos and Ali Muhib

    Citation: Advances in Difference Equations 2021 2021:412

    Content type: Research

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  10. In this paper, we introduce multi-Lah numbers and multi-Stirling numbers of the first kind and recall multi-Bernoulli numbers, all of whose generating functions are given with the help of multiple logarithm. T...

    Authors: Dae San Kim, Hye Kyung Kim, Taekyun Kim, Hyunseok Lee and Seongho Park

    Citation: Advances in Difference Equations 2021 2021:411

    Content type: Research

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  11. In this work, we modify the inertial hybrid algorithm with Armijo line search using a parallel method to approximate a common solution of nonmonotone equilibrium problems in Hilbert spaces. A weak convergence ...

    Authors: Suthep Suantai, Damrongsak Yambangwai and Watcharaporn Cholamjiak

    Citation: Advances in Difference Equations 2021 2021:410

    Content type: Research

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  12. In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and ...

    Authors: Erdal Karapınar, Chi-Ming Chen, Maryam A. Alghamdi and Andreea Fulga

    Citation: Advances in Difference Equations 2021 2021:409

    Content type: Research

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  13. A number of mathematical methods have been developed to determine the complex rheological behavior of fluid’s models. Such mathematical models are investigated using statistical, empirical, analytical, and ite...

    Authors: Muhammad Bilal Riaz, Kashif Ali Abro, Khadijah M. Abualnaja, Ali Akgül, Aziz Ur Rehman, Muhammad Abbas and Y. S. Hamed

    Citation: Advances in Difference Equations 2021 2021:408

    Content type: Research

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  14. A remarkably large number of hypergeometric (and generalized) functions and a variety of their extensions have been presented and investigated in the literature by many authors. In this paper, we introduce fiv...

    Authors: Jihad Younis, Ashish Verma, Hassen Aydi, Kottakkaran Sooppy Nisar and Habes Alsamir

    Citation: Advances in Difference Equations 2021 2021:407

    Content type: Research

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  15. Cholera is a waterborne disease that continues to pose serious public health problems in many developing countries. Increasing water and sanitation coverage is a goal for local authorities in these countries, ...

    Authors: Rujira Chaysiri, Garrick E. Louis and Wirawan Chinviriyasit

    Citation: Advances in Difference Equations 2021 2021:405

    Content type: Research

    Published on:

  16. In this paper, we study the existence of solutions for a generalized sequential Caputo-type fractional neutral differential inclusion with generalized integral conditions. The used fractional operator has the ...

    Authors: Adel Lachouri, Mohammed S. Abdo, Abdelouaheb Ardjouni, Sina Etemad and Shahram Rezapour

    Citation: Advances in Difference Equations 2021 2021:404

    Content type: Research

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  17. The key objective of this study is determining several existence criteria for the sequential generalized fractional models of an elastic beam, fourth-order Navier equation in the context of quantum calculus (q-ca...

    Authors: Sina Etemad, Sotiris K. Ntouyas, Atika Imran, Azhar Hussain, Dumitru Baleanu and Shahram Rezapour

    Citation: Advances in Difference Equations 2021 2021:402

    Content type: Research

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  18. In this article, we are interested in studying the asymptotic behavior of fourth-order neutral differential equations. Despite the growing interest in studying the oscillatory behavior of delay differential eq...

    Authors: Saeed Althubiti, Fahad Alsharari, Omar Bazighifan and George E. Chatzarakis

    Citation: Advances in Difference Equations 2021 2021:401

    Content type: Research

    Published on:

  19. In this manuscript, the existence, uniqueness, and stability of solutions to the multiterm boundary value problem of Caputo fractional differential equations of variable order are established. All results in t...

    Authors: Zoubida Bouazza, Mohammed Said Souid and Hatıra Günerhan

    Citation: Advances in Difference Equations 2021 2021:400

    Content type: Research

    Published on:

  20. In this paper, we investigate the spatiotemporal patterns of a freshwater tussock sedge model with discrete time and space variables. We first analyze the kinetic system and show the parametric conditions for ...

    Authors: You Li, Jingjing Cao, Ying Sun, Dan Song and Xiaoyu Wu

    Citation: Advances in Difference Equations 2021 2021:399

    Content type: Research

    Published on:

  21. In this paper we propose a solution to the nonlinear Fredholm integral equations in the context of w-distance. For this purpose, we also provide a fixed point result in the same setting. In addition, we provide b...

    Authors: P. Dhivya, M. Marudai, Vladimir Rakočević and Andreea Fulga

    Citation: Advances in Difference Equations 2021 2021:398

    Content type: Research

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  22. This paper investigates a class of generalized Cohen–Grossberg neural networks (CGNNs) with discontinuous activations and mixed delays. Based on the nonsmooth analysis theory, the drive-response concept, diffe...

    Authors: Zhaohong Xiang and Runjie Li

    Citation: Advances in Difference Equations 2021 2021:396

    Content type: Research

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  23. Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative ...

    Authors: Asma, Sana Shabbir, Kamal Shah and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2021 2021:395

    Content type: Research

    Published on:

  24. The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new resu...

    Authors: Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić and Josip Pečarić

    Citation: Advances in Difference Equations 2021 2021:394

    Content type: Research

    Published on:

  25. The present paper deals with a fractional-order mathematical epidemic model of malaria transmission accompanied by temporary immunity and relapse. The model is revised by using Caputo fractional operator for t...

    Authors: Attiq ul Rehman, Ram Singh, Thabet Abdeljawad, Eric Okyere and Liliana Guran

    Citation: Advances in Difference Equations 2021 2021:390

    Content type: Research

    Published on:

  26. In this paper, we study the fractional nonlinear Rayleigh–Stokes equation under nonlocal integral conditions, and the existence and uniqueness of the mild solution to our problem are considered. The ill-posedn...

    Authors: Nguyen Hoang Luc, Le Dinh Long, Ho Thi Kim Van and Van Thinh Nguyen

    Citation: Advances in Difference Equations 2021 2021:388

    Content type: Research

    Published on:

  27. In this paper, we consider a fractional COVID-19 epidemic model with a convex incidence rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account. We establish the equilibrium po...

    Authors: Amir Khan, Rahat Zarin, Usa Wannasingha Humphries, Ali Akgül, Anwar Saeed and Taza Gul

    Citation: Advances in Difference Equations 2021 2021:387

    Content type: Research

    Published on:

  28. This paper deals with boundary value problems for local and nonlocal Laplace operator in 2D with exponential nonlinearities, the so-called Liouville type equations. They include the mean field equation and oth...

    Authors: Angela Slavova and Petar Popivanov

    Citation: Advances in Difference Equations 2021 2021:386

    Content type: Research

    Published on:

  29. The current paper is about the investigation of a new integral transform introduced recently by Jafari. Specifically, we explore the applicability of this integral transform on Atangana–Baleanu derivative and ...

    Authors: M. Meddahi, H. Jafari and M. N. Ncube

    Citation: Advances in Difference Equations 2021 2021:385

    Content type: Research

    Published on:

  30. This research note’s objective is to elaborate on the study of the unsteady MHD natural convective flow of the Jeffery fluid with the fractional derivative model. The fluid flow phenomenon happens between two ...

    Authors: Maryam Asgir, A. A. Zafar, Abdullah M. Alsharif, Muhammad Bilal Riaz and Muhammad Abbas

    Citation: Advances in Difference Equations 2021 2021:384

    Content type: Research

    Published on:

  31. In this article, we introduce a new concept of Hausdorff distance through generalized modular metric on nonempty compact subsets and study some topological properties of it. This concept with contraction theor...

    Authors: Alireza Alihajimohammad and Reza Saadati

    Citation: Advances in Difference Equations 2021 2021:383

    Content type: Research

    Published on:

  32. In this paper, the problem of temperature distribution for convective straight fins with constant and temperature-dependent thermal conductivity is solved by using artificial neural networks trained by the bio...

    Authors: Ashfaq Ahmad, Muhammad Sulaiman and Poom Kumam

    Citation: Advances in Difference Equations 2021 2021:382

    Content type: Research

    Published on:

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