Generalized solutions for time $\psi$-fractional evolution equations

DOI: https://doi.org/10.5269/bspm.69008

Abstract

This paper focuses on the time fractional wave problem with the use of a new fractional derivative in Colombeau algebra. Using Banach's fixed point theorem and Laplace transforms, we give and prove the integral solution of the problem. In Colombeau's algebra, The existence and uniqueness of the solution are demonstrated using the Gronwall lemma.

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Author Biographies

Abdelmjid Benmerrous, Sultan Moulay Slimane University

Laboratory of Applied Mathematics and Scientific Computing

Lalla saadia Chadli, Sultan Moulay Slimane University

Laboratory of Applied Mathematics and Scientific Computing

Abdelaziz Moujahid, Sultan Moulay Slimane University

Laboratory of Applied Mathematics and Scientific Computing

M'hamed Elomari, Sultan Moulay Slimane University

Laboratory of Applied Mathematics and Scientific Computing

Said Melliani, Sultan Moulay Slimane University

Laboratory of Applied Mathematics and Scientific Computing

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Published
2024-06-03
Issue
Vol 42 (2024)
Section
Articles

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