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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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

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