On Weak Solutions to Parabolic Problem Involving the Fractional p-Laplacian via Young Measures

Talibi Ihya; Balaadich Farah; El Boukari Brahim; El Ghordaf Jalila

doi:10.2478/amsil-2024-0021

Annales Mathematicae Silesianae (Nov 2024)

On Weak Solutions to Parabolic Problem Involving the Fractional p-Laplacian via Young Measures

Talibi Ihya,
Balaadich Farah,
El Boukari Brahim,
El Ghordaf Jalila

Affiliations

Talibi Ihya: Applied Mathematics and Scientific Computing Laboratory, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal, Morocco
Balaadich Farah: Applied Mathematics and Scientific Computing Laboratory, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal, Morocco
El Boukari Brahim: Applied Mathematics and Scientific Computing Laboratory, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal, Morocco
El Ghordaf Jalila: Applied Mathematics and Scientific Computing Laboratory, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal, Morocco

DOI: https://doi.org/10.2478/amsil-2024-0021
Journal volume & issue: Vol. 39, no. 2
pp. 349 – 367

Abstract

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In this paper, we study the local existence of weak solutions for parabolic problem involving the fractional p-Laplacian. Our technique is based on the Galerkin method combined with the theory of Young measures. In addition, an example is given to illustrate the main results.

Published in Annales Mathematicae Silesianae

ISSN: 2391-4238 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AMSIL

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