Generalized Solutions for Time $\psi$-Fractional Heat Equation

Abdelmjid Benmerrous, Lalla saadia Chadli, Abdelaziz Moujahid, M'hamed Elomari, Said Melliani

Abstract


This paper focuses on the 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.

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