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  1. This paper is devoted to the investigation of Ulam stability of first-order nonlinear impulsive dynamic equations on finite-time scale intervals. Our main objective is to formulate sufficient conditions under ...

    Authors: Pallavi Scindia, Sanket Tikare and Ahmed A. El-Deeb
    Citation: Boundary Value Problems 2023 2023:86
  2. In this paper, the existence of the multiple positive solutions for a class of higher-order fractional differential equations on infinite intervals with infinite-point boundary value conditions is mainly studi...

    Authors: Ziyue Cui and Zongfu Zhou
    Citation: Boundary Value Problems 2023 2023:85
  3. Establishing financial models or economic models to describe economic phenomena in real life has become a heated discussion in society at present. From a mathematical point of view, the exploration on dynamics...

    Authors: Zixin Liu, Wenfang Li, Changjin Xu, Chunfeng Liu, Dan Mu, Mengzhu Xu, Wei Ou and Qingyi Cui
    Citation: Boundary Value Problems 2023 2023:82
  4. In this study, we consider a prey–predator model with prey refuge and intraspecific competition between predators using the Crowley–Martin functional response and investigate the dynamic characteristics of spa...

    Authors: Maruthai Selvaraj Surendar, Muniagounder Sambath, Krishnan Balachandran and Yong-Ki Ma
    Citation: Boundary Value Problems 2023 2023:81
  5. In this paper, we consider the nonclassical diffusion equation with memory and the nonlinearity of the polynomial growth condition of arbitrary order in the time-dependent space. First, the well-posedness of t...

    Authors: Jing Wang, Qiaozhen Ma, Wenxue Zhou and Xiaobin Yao
    Citation: Boundary Value Problems 2023 2023:79
  6. The objective of this article is to investigate how the properties of a non-Newtonian Williamson nanofluid flow, which occurs due to an exponential stretching sheet placed in a porous medium, are influenced by...

    Authors: M. M. Khader, M. M. Babatin and Ahmed M. Megahed
    Citation: Boundary Value Problems 2023 2023:77
  7. In this article, we use coupled boundary conditions on a nonlinear system with ψ-Caputo fractional derivatives to derive new conclusions on the solution’s existence, uniqueness, and stability. We use the well-kno...

    Authors: Poovarasan R, Pushpendra Kumar, V. Govindaraj and Marina Murillo-Arcila
    Citation: Boundary Value Problems 2023 2023:75
  8. This ongoing work is vehemently dedicated to the investigation of a class of ordinary linear Volterra type integro-differential equations with fractional order in numerical mode. By replacing the unknown funct...

    Authors: T. Allahviranloo, A. Jafarian, R. Saneifard, N. Ghalami, S. Measoomy Nia, F. Kiani, U. Fernandez-Gamiz and S. Noeiaghdam
    Citation: Boundary Value Problems 2023 2023:74
  9. The decay rate of solutions to a Bresse system in thermoelasticity of type III with respect to the distributed delay term is the subject of this study. We demonstrate our major finding utilising the energy app...

    Authors: Abdelbaki Choucha, Salah Boulaaras, Rashid Jan and Rafik Guefaifia
    Citation: Boundary Value Problems 2023 2023:67
  10. The novelty of this paper is that, based on Mawhin’s continuation theorem, we present some sufficient conditions that ensure that there is at least one solution to a particular kind of a boundary value problem...

    Authors: Yassine Adjabi, Fahd Jarad, Mokhtar Bouloudene and Sumati Kumari Panda
    Citation: Boundary Value Problems 2023 2023:62
  11. This work is devoted to studying a viscoelastic Kirchhoff-type equation with nonlinear boundary damping-source interactions in a bounded domain. Under suitable assumptions on the kernel function g, density functi...

    Authors: Meriem Saker, Nouri Boumaza and Billel Gheraibia
    Citation: Boundary Value Problems 2023 2023:58
  12. In this paper, we present the definitions of fractional integrals and fractional derivatives of a Pettis integrable function with respect to another function. This concept follows the idea of Stieltjes-type op...

    Authors: Hussein A. H. Salem, Mieczysław Cichoń and Wafa Shammakh
    Citation: Boundary Value Problems 2023 2023:57
  13. In this paper, we introduce a new coupled system of sequential fractional differential equations with coupled boundary conditions. We establish existence and uniqueness results using the Leray–Schauder alterna...

    Authors: Manigandan Murugesan, Subramanian Muthaiah, Jehad Alzabut and Thangaraj Nandha Gopal
    Citation: Boundary Value Problems 2023 2023:56
  14. Variable order differential equations are the natural extension of the said area. In many situations, such problems have the ability to describe real-world problems more concisely. Therefore, keeping this vali...

    Authors: Kamal Shah, Gauhar Ali, Khursheed J. Ansari, Thabet Abdeljawad, M. Meganathan and Bahaaeldin Abdalla
    Citation: Boundary Value Problems 2023 2023:55
  15. The paper is devoted to the study of one class of problems with nonlocal conditions for a mixed diffusion-wave equation with two independent variables. The main results of the work are the proof of regular and...

    Authors: Nauryzbay Adil, Abdumauvlen S. Berdyshev, B. E. Eshmatov and Zharasbek D. Baishemirov
    Citation: Boundary Value Problems 2023 2023:47

    The Correction to this article has been published in Boundary Value Problems 2023 2023:73

  16. We consider the two-phase flow model in 3D exterior domains with slip boundary conditions. We establish the global existence of classical solutions of this system, provided that the initial energy is suitably ...

    Authors: Zilai Li, Hao Liu, Huaqiao Wang and Daoguo Zhou
    Citation: Boundary Value Problems 2023 2023:46

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