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  1. The current paper concentrates on discovering the exact solutions of the time-fractional regular and singular coupled Burger’s equations by involving a new technique known as the double Sumudu-generalized Lapl...

    Authors: Hassan Eltayeb
    Citation: Boundary Value Problems 2024 2024:48
  2. This paper is devoted to the study of a mixed boundary value problem for a complete Sturm–Liouville equation, where the coefficients can also be negative. In particular, the existence of infinitely many distin...

    Authors: Gabriele Bonanno, Giuseppina D’Aguì and Valeria Morabito
    Citation: Boundary Value Problems 2024 2024:43
  3. In this paper, we study the existence and uniqueness of positive solutions for a class of a fractional differential equation system of Riemann–Liouville type on infinite intervals with infinite-point boundary ...

    Authors: Yang Yu and Qi Ge
    Citation: Boundary Value Problems 2024 2024:41
  4. The aim of this paper is to prove the existence of generalized variational solutions for nonlinear Dirichlet problems driven by anisotropic and Finsler Laplacian competing operators. The main difficulty consis...

    Authors: Dumitru Motreanu and Abdolrahman Razani
    Citation: Boundary Value Problems 2024 2024:39
  5. We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation). Und...

    Authors: Salah Boulaaras, Rashid Jan, Abdelbaki Choucha, Aderrahmane Zaraï and Mourad Benzahi
    Citation: Boundary Value Problems 2024 2024:36
  6. Over the years, the research of backward stochastic differential equations (BSDEs) has come a long way. As a extension of the BSDEs, the BSDEs with time delay have played a major role in the stochastic optimal...

    Authors: Yunze Shao, Junjie Du, Xiaofei Li, Yuru Tan and Jia Song
    Citation: Boundary Value Problems 2024 2024:35
  7. This paper focuses on the long time behavior of the solutions to the Cauchy problem of the three-dimensional compressible magneto-micropolar fluids. More precisely, we aim to establish the optimal rates of tem...

    Authors: Xinyu Cui, Shengbin Fu, Rui Sun and Fangfang Tian
    Citation: Boundary Value Problems 2024 2024:33
  8. In this work, we analyze a q-fractional jerk problem having anti-periodic boundary conditions. The focus is on investigating whether a unique solution exists and remains stable under specific conditions. To prove...

    Authors: Khansa Hina Khalid, Akbar Zada, Ioan-Lucian Popa and Mohammad Esmael Samei
    Citation: Boundary Value Problems 2024 2024:28
  9. In this paper, we approximate the solution of fractional Painlevé and Bagley-Torvik equations in the Conformable (Co), Caputo (C), and Caputo-Fabrizio (CF) fractional derivatives using hybrid hyperbolic and cu...

    Authors: Nahid Barzehkar, Reza Jalilian and Ali Barati
    Citation: Boundary Value Problems 2024 2024:27
  10. We establish a Liouville-type theorem for a weighted higher-order elliptic system in a wider exponent region described via a critical curve. We first establish a Liouville-type theorem to the involved integral...

    Authors: Weiwei Zhao, Xiaoling Shao, Changhui Hu and Zhiyu Cheng
    Citation: Boundary Value Problems 2024 2024:22
  11. In this paper, we investigate the existence of mild solutions as well as optimal controls for non-autonomous impulsive evolution equations with nonlocal conditions. Using the Schauder’s fixed-point theorem as ...

    Authors: Lixin Sheng, Weimin Hu and You-Hui Su
    Citation: Boundary Value Problems 2024 2024:17
  12. Our study is dedicated to a mixture composed of a dipolar elastic medium and a viscous Moore–Gibson–Thompson (MGT) material. The mixed problem with initial and boundary data, considered in this context, is app...

    Authors: Marin Marin, Sorin Vlase and Denisa Neagu
    Citation: Boundary Value Problems 2024 2024:16
  13. In this manuscript, our primary objective is to delve into the intricacies of an extended nonlinear Schrödinger equation. To achieve this, we commence by deriving a dynamical system tightly linked to the equat...

    Authors: Mati ur Rahman, Mei Sun, Salah Boulaaras and Dumitru Baleanu
    Citation: Boundary Value Problems 2024 2024:15
  14. In this paper, we propose the notion of extended neutrosophic rectangular metric space and prove some fixed point results under contraction mapping. Finally, as an application of the obtained results, we prove...

    Authors: Gunaseelan Mani, Maria A. R. M. Antony, Zoran D. Mitrović, Ahmad Aloqaily and Nabil Mlaiki
    Citation: Boundary Value Problems 2024 2024:13
  15. By using a direct non-Nehari manifold method from (Tang and Cheng in J. Differ. Equ. 261:2384–2402, 2016), we obtain an existence result of ground-state sign-changing homoclinic solutions that only changes sign o...

    Authors: Xin Ou and Xingyong Zhang
    Citation: Boundary Value Problems 2024 2024:6
  16. This paper investigates a delayed predator-prey model with discontinuous harvesting and Beddington–DeAngelis functional response. Using the theory of differential inclusion theory, the existence of positive so...

    Authors: Yingying Wang and Zhinan Xia
    Citation: Boundary Value Problems 2023 2023:117
  17. The purpose of this study is to establish fixed-point results for new interpolative contraction mappings in the setting of Busemann space involving a convex hull. To illustrate our findings, we also offer help...

    Authors: Hasanen A. Hammad, Hassen Aydi and Doha A. Kattan
    Citation: Boundary Value Problems 2023 2023:116

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