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  1. Recently, Hattori–Lagha established the global existence and asymptotic behavior of the solutions for a three-dimensional compressible chemotaxis system with chemoattractant and repellent (Hattori and Lagha in...

    Authors: Yuting Guo, Rui Sun and Weiwei Wang
    Citation: Boundary Value Problems 2022 2022:37
  2. In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary value problem (BVP) using Caputo fractional derivative (CFD). We derive Green’s function and give some estimation for...

    Authors: Vedat Suat Ertürk, Amjad Ali, Kamal Shah, Pushpendra Kumar and Thabet Abdeljawad
    Citation: Boundary Value Problems 2022 2022:25
  3. We study the optimal feedback control for fractional evolution equations with a nonlinear perturbation of the time-fractional derivative term involving Caputo fractional derivatives with arbitrary kernels. Fir...

    Authors: Apassara Suechoei and Parinya Sa Ngiamsunthorn
    Citation: Boundary Value Problems 2022 2022:21
  4. In this paper, a modified cross-diffusion Leslie–Gower predator–prey model with the Beddington–DeAngelis functional response is studied. We use the linear stability analysis on constant steady states to obtain...

    Authors: Marzieh Farshid and Yaghoub Jalilian
    Citation: Boundary Value Problems 2022 2022:20
  5. We are concerned with the existence and nonexistence of global weak solutions for a certain class of time-fractional inhomogeneous pseudo-parabolic-type equations involving a nonlinearity of the form

    Authors: Areej Bin Sultan, Mohamed Jleli, Bessem Samet and Calogero Vetro
    Citation: Boundary Value Problems 2022 2022:19
  6. In this article, we extend the notion of double Laplace transformation to triple and fourth order. We first develop theory for the extended Laplace transformations and then exploit it for analytical solution o...

    Authors: Tahir Khan, Saeed Ahmad, Gul Zaman, Jehad Alzabut and Rahman Ullah
    Citation: Boundary Value Problems 2022 2022:16
  7. 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
  8. 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
  9. 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
  10. 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

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