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  1. 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
  2. In this paper, we establish a relation-theoretic set-valued version of the fixed point result of Ćirić and Prešić (Acta Math. Univ. Comen. LXXVI(2):143–147, 2007) on metric spaces endowed with an arbitrary binary...

    Authors: Satish Shukla, Shweta Rai and Rahul Shukla
    Citation: Boundary Value Problems 2023 2023:59
  3. 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
  4. 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
  5. 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
  6. 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
  7. In this paper, new inequalities for the left and right sides of the Hermite–Hadamard inequality are acquired for twice-differentiable mappings. Conformable fractional integrals are used to derive these inequal...

    Authors: Fatih Hezenci, Hasan Kara and Hüseyin Budak
    Citation: Boundary Value Problems 2023 2023:48
  8. 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

  9. 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
  10. In this paper, a nonclassical sinc collocation method is constructed for the numerical solution of systems of second-order integro-differential equations of the Volterra and Fredholm types. The novelty of the ...

    Authors: Mohammad Ghasemi, Keivan Mohammadi and Amjad Alipanah
    Citation: Boundary Value Problems 2023 2023:38
  11. An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applyi...

    Authors: Jufang Wang, Si Wang and Changlong Yu
    Citation: Boundary Value Problems 2023 2023:37
  12. In the article, we present multiple solutions for a second-order singular Dirichlet boundary value problem that arises when modeling the ocean flow of the Antarctic Circumpolar Current. The main tools of the p...

    Authors: Yongxin Jiang, Wei Shi and Xiaojuan Li
    Citation: Boundary Value Problems 2023 2023:33
  13. In this paper, we study the existence and uniqueness of a periodic solution for a third-order neutral delay differential equation (NDDE) by applying Mawhin’s continuation theorem of coincidence degree and anal...

    Authors: R. O. A. Taie and D. A. M. Bakhit
    Citation: Boundary Value Problems 2023 2023:25
  14. This research inscription gets to grips with two novel varieties of boundary value problems. One of them is a hybrid Langevin fractional differential equation, whilst the other is a coupled system of hybrid La...

    Authors: A. Boutiara, Mohammed M. Matar, Thabet Abdeljawad and Fahd Jarad
    Citation: Boundary Value Problems 2023 2023:22
  15. This paper introduces size-dependent modeling and investigation of the transverse vibrational behavior of rotating thermoelastic nanobeams by means of nonlocal elasticity theory. In the formulation, a model of...

    Authors: Ahmed E. Abouelregal, Marin Marin and Sameh S. Askar
    Citation: Boundary Value Problems 2023 2023:21
  16. In this paper we study the von Karman plate model with long range memory. By using the assumptions on the relaxation function due to Tatar (J. Math. Phys. 52:013502, 2011), we show an arbitrary rate of decay, whi...

    Authors: Jum-Ran Kang
    Citation: Boundary Value Problems 2023 2023:16

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