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  1. 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:

  2. 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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  3. 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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  4. 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

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  5. 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

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  6. 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

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  7. 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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  8. 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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  9. 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

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  10. 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:

  11. 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

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  12. 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

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  13. 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:

  14. 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

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  15. 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:

  16. 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

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  17. 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:

  18. 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

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  19. In this research paper, we intend to study the stability of solutions of some nonlinear initial value fractional differential problems. These equations are studied within the generalized fractional derivative ...

    Authors: Mohammed D. Kassim, Thabet Abdeljawad, Saeed M. Ali and Mohammed S. Abdo

    Citation: Advances in Difference Equations 2021 2021:376

    Content type: Review

    Published on:

  20. The aim of this article is to discuss the uniqueness and Ulam–Hyers stability of solutions for a nonlinear fractional integro-differential equation involving a generalized Caputo fractional operator. The used ...

    Authors: Mohammed D. Kassim, Thabet Abdeljawad, Wasfi Shatanawi, Saeed M. Ali and Mohammed S. Abdo

    Citation: Advances in Difference Equations 2021 2021:375

    Content type: Research

    Published on:

  21. Taylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for som...

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

    Citation: Advances in Difference Equations 2021 2021:374

    Content type: Research

    Published on:

  22. In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting the measure of noncompactness in a Banach space. The results enlarge the c...

    Authors: Soniya Singh, Bhupander Singh, Kottakkaran Sooppy Nisar, Abd-Allah Hyder and M. Zakarya

    Citation: Advances in Difference Equations 2021 2021:372

    Content type: Research

    Published on:

  23. In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral in...

    Authors: Muhammad Amer Latif

    Citation: Advances in Difference Equations 2021 2021:371

    Content type: Research

    Published on:

  24. In this manuscript, we study a certain classical second-order fully nonlinear coupled system with generalized nonlinear coupled boundary conditions satisfying the monotone assumptions. Our new results unify th...

    Authors: Imran Talib, Thabet Abdeljawad, Manar A. Alqudah, Cemil Tunc and Rabia Ameen

    Citation: Advances in Difference Equations 2021 2021:368

    Content type: Research

    Published on:

  25. In this paper, we consider a nonlinear sequential q-difference equation based on the Caputo fractional quantum derivatives with nonlocal boundary value conditions containing Riemann–Liouville fractional quantum i...

    Authors: Abdelatif Boutiara, Sina Etemad, Jehad Alzabut, Azhar Hussain, Muthaiah Subramanian and Shahram Rezapour

    Citation: Advances in Difference Equations 2021 2021:367

    Content type: Research

    Published on:

  26. In the present research study, for a given multiterm boundary value problem (BVP) involving the Riemann-Liouville fractional differential equation of variable order, the existence properties are analyzed. To a...

    Authors: Amar Benkerrouche, Dumitru Baleanu, Mohammed Said Souid, Ali Hakem and Mustafa Inc

    Citation: Advances in Difference Equations 2021 2021:365

    Content type: Research

    Published on:

  27. This paper provides iterative construction of a common solution associated with the classes of equilibrium problems (EP) and split convex feasibility problems. In particular, we are interested in the EP define...

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

    Citation: Advances in Difference Equations 2021 2021:364

    Content type: Research

    Published on:

  28. An explicit unconditionally stable scheme is proposed for solving time-dependent partial differential equations. The application of the proposed scheme is given to solve the COVID-19 epidemic model. This schem...

    Authors: Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh and Wasfi Shatanawi

    Citation: Advances in Difference Equations 2021 2021:363

    Content type: Research

    Published on:

  29. In this paper, we first consider the stability problem for a class of stochastic quaternion-valued neural networks with time-varying delays. Next, we cannot explicitly decompose the quaternion-valued systems i...

    Authors: Lihua Dai and Yuanyuan Hou

    Citation: Advances in Difference Equations 2021 2021:362

    Content type: Research

    Published on:

  30. Numerous mathematicians have studied ‘poly’ as one of the generalizations to special polynomials, such as Bernoulli, Euler, Cauchy, and Genocchi polynomials. In relation to this, in this paper, we introduce th...

    Authors: Taekyun Kim and Hye Kyung Kim

    Citation: Advances in Difference Equations 2021 2021:361

    Content type: Research

    Published on:

  31. In this study, we discuss the existence of positive periodic solutions of a class of discrete density-dependent mortal Nicholson’s dual system with harvesting terms. By means of the continuation coincidence de...

    Authors: Rajendiran Eswari, Jehad Alzabut, Mohammad Esmael Samei and Hui Zhou

    Citation: Advances in Difference Equations 2021 2021:360

    Content type: Research

    Published on:

  32. In this paper we investigate certain integral operator involving Jacobi–Dunkl functions in a class of generalized functions. We utilize convolution products, approximating identities, and several axioms to all...

    Authors: Shrideh Al-Omari, Hassan Almusawa and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2021 2021:357

    Content type: Research

    Published on:

  33. The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers. After that,...

    Authors: Necmettin Alp and Mehmet Zeki Sarikaya

    Citation: Advances in Difference Equations 2021 2021:355

    Content type: Research

    Published on:

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