Skip to main content

Articles

Page 4 of 97

  1. In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) of hybrid fractional differential equations (HFDEs) in the frame of Atangana–Baleanu–Caputo (A...

    Authors: Rozi Gul, Kamal Shah, Zareen A. Khan and Fahd Jarad
    Citation: Advances in Difference Equations 2021 2021:437
  2. In this paper, we consider the biparabolic problem under nonlocal conditions with both linear and nonlinear source terms. We derive the regularity property of the mild solution for the linear source term while...

    Authors: Le Dinh Long, Ho Duy Binh, Kim Van Ho Thi and Van Thinh Nguyen
    Citation: Advances in Difference Equations 2021 2021:434
  3. In this paper, we investigate the growth and fixed points of solutions of higher-order linear differential equations in the unit disc. We extend the coefficient conditions to a type of one-constant-control coe...

    Authors: Yu Chen, Guan-Tie Deng, Zhan-Mei Chen and Wei-Wei Wang
    Citation: Advances in Difference Equations 2021 2021:431
  4. HIV patients are vulnerable to developing active visceral leishmaniasis (VL). To understand this complication, we studied a mathematical model for HIV and visceral leishmaniasis coinfection. In this approach, ...

    Authors: Zinabu Teka Melese and Haileyesus Tessema Alemneh
    Citation: Advances in Difference Equations 2021 2021:429
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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

Annual Journal Metrics