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  1. The numerical analysis of the temporal distributed and spatial Riesz fractional problem (TDSRFP) is presented in this work. To address the two independent variables, the suggested technique employs a completel...

    Authors: M. A. Abdelkawy, Mdi Begum Jeelani, Abeer S. Alnahdi, T. M. Taha and E. M. Soluma
    Citation: Boundary Value Problems 2022 2022:13
  2. In this paper, we consider two internal stabilization problems for the multi-dimensional wave equation with a boundary time-delay. We prove that the first problem is well-posed in an appropriate functional spa...

    Authors: Kaïs Ammari, Boumediène Chentouf and Nejib Smaoui
    Citation: Boundary Value Problems 2022 2022:8
  3. In this paper, we propose an optimal control problem for an HIV infection model with cellular and humoral immune responses, logistic growth of uninfected cells, cell-to-cell spread, saturated infection, and cu...

    Authors: Najmeh Akbari and Rasoul Asheghi
    Citation: Boundary Value Problems 2022 2022:5
  4. In this paper, we study a class of initial value problems for a nonlinear implicit fractional differential equation with nonlocal conditions involving the Atangana–Baleanu–Caputo fractional derivative. The app...

    Authors: Abeer S. Alnahdi, Mdi Begum Jeelani, Mohammed S. Abdo, Saeed M. Ali and S. Saleh
    Citation: Boundary Value Problems 2021 2021:104
  5. The objective of the article is to improve the algorithms for the resolution of the spectral discretization of the vorticity–velocity–pressure formulation of the Navier–Stokes problem in two and three domains....

    Authors: Mohamed Abdelwahed, Nejmeddine Chorfi and Henda Ouertani
    Citation: Boundary Value Problems 2021 2021:99
  6. In this article, we consider the existence of solutions to the Sturm–Liouville differential equation with random impulses and boundary value problems. We first study the Green function of the Sturm–Liouville d...

    Authors: Zihan Li, Xiao-Bao Shu and Tengyuan Miao
    Citation: Boundary Value Problems 2021 2021:97
  7. Consider nonlinear wave equations in the spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. We show blow-up in finite time of solutions and upper bounds of the lifespan of blow-up solutions ...

    Authors: Kimitoshi Tsutaya and Yuta Wakasugi
    Citation: Boundary Value Problems 2021 2021:94
  8. In this paper, by using the energy estimates, the structure of the equations, and the properties of one dimension, we establish the global existence and uniqueness of strong and classical solutions to the init...

    Authors: Menglong Su
    Citation: Boundary Value Problems 2021 2021:92
  9. The Sturm–Liouville equation is among the significant differential equations having many applications, and a lot of researchers have studied it. Up to now, different versions of this equation have been reviewe...

    Authors: Mehdi Shabibi, Akbar Zada, Hashem Parvaneh Masiha and Shahram Rezapour
    Citation: Boundary Value Problems 2021 2021:90
  10. The aim of this paper is to establish some results about the existence of multiple solutions for the following singular semipositone boundary value problem of fourth-order differential systems with parameters:

    Authors: Longfei Lin, Yansheng Liu and Daliang Zhao
    Citation: Boundary Value Problems 2021 2021:79
  11. In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative. By utilizing ...

    Authors: Mehboob Alam, Akbar Zada, Ioan-Lucian Popa, Alireza Kheiryan, Shahram Rezapour and Mohammed K. A. Kaabar
    Citation: Boundary Value Problems 2021 2021:73

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