Skip to main content

Partial Differential Equations in Applied Sciences

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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