Generalized solutions for time ψ-fractional heat equation-Reference-Cited by-同舟云学术

Generalized solutions for time ψ-fractional heat equation

Published:2023 Issue:27 Volume:37 Page:9327-9337
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Benmerrous Abdelmjid¹,Chadli Lalla¹,Moujahid Abdelaziz¹,Elomari M’hamed¹,Melliani Said¹

Affiliation:

1. Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco

Abstract

This paper focuses on the time fractional heat problem with the use of a new fractional derivative. 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.

Publisher

National Library of Serbia

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