Discontinuity, Nonlinearity, and Complexity 13(1) (2024) 113--131 | DOI:10.5890/DNC.2024.03.009

Younes Bidi$^1$, Abderrahmane Beniani$^2$

$^1$ University of Djillali Liabes - B. P. 89, Sidi Bel Abbes 22000, Algeria. Laboratoire de Mathématiques Pures et Appliquées

$^2$ Department of Mathematics, University of Ain Temouchent, Laboratory of Engineering and Sustainable Development, Ain Temouchent 46000, Algeria

Abstract

In this paper, we study the initial-boundary value problem for class of fractional $p-$Laplacian equation with logarithmic nonlinearity. By means of the Galerkin approximations, we prove the local and global existence of the weak solutions.We also establish finite time Blow up.

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