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  1. In the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequali...

    Authors: Wali Haider, Hüseyin Budak, Asia Shehzadi, Fatih Hezenci and Haibo Chen
    Citation: Boundary Value Problems 2024 2024:53
  2. In the present paper, we study stochastic stability and stochastic boundedness for the stochastic differential equation (SDE) with multi-delay of third order. The derived results extend and improve some earlie...

    Authors: A. M. Mahmoud, D. A. Eisa, R. O. A. Taie and D. A. M. Bakhit
    Citation: Boundary Value Problems 2024 2024:49
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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

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