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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. In this work, a system of nonlinear, switched, coupled, implicit, impulsive Langevin equations with two Hilfer fractional derivatives is introduced. The suitable conditions and results are established to discu...

    Authors: Rizwan Rizwan, Fengxia Liu, Zhiyong Zheng, Choonkil Park and Siriluk Paokanta
    Citation: Boundary Value Problems 2023 2023:115
  11. In this paper, we consider the existence of solutions for a boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity. By means of the Guo–Krasnosel...

    Authors: Rulan Bai, Kemei Zhang and Xue-Jun Xie
    Citation: Boundary Value Problems 2023 2023:114
  12. In this article, a generalization of Darbo’s fixed point theorem using a new contraction operator is obtained to solve our proposed hybrid differential and fractional hybrid differential equations in a Banach ...

    Authors: Anupam Das, Sudip Deb, Rupanjali Goswami, Tazuddin Ahmed, Zeynab Izadi and Vahid Parvaneh
    Citation: Boundary Value Problems 2023 2023:112
  13. This paper presents a new way to solve numerically multiterm variable-order fractional differential equations (MTVOFDEs) with initial conditions by using a class of modified shifted Jacobi polynomials (MSJPs)....

    Authors: H. M. Ahmed
    Citation: Boundary Value Problems 2023 2023:108
  14. In this paper, we consider the time-decay rate of the strong solution to the Cauchy problem for the three-dimensional Lüst model. In particular, the optimal decay rates of the higher-order spatial derivatives ...

    Authors: Ying Sheng
    Citation: Boundary Value Problems 2023 2023:106
  15. The objective of this work is to investigate the perturbed Gerdjikov–Ivanov (GI) equation along spatio-temporal dispersion which explains the dynamics of soliton dispersion and evolution of propagation distanc...

    Authors: Hamood Ur Rehman, Ifrah Iqbal, M. Mirzazadeh, Salma Haque, Nabil Mlaiki and Wasfi Shatanawi
    Citation: Boundary Value Problems 2023 2023:105

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  • Citation Impact 2023
    Journal Impact Factor: 1.0
    5-year Journal Impact Factor: 1.1
    Source Normalized Impact per Paper (SNIP): 0.685
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