Geodesic
Generalized solutions for time ψ-fractional heat equation
Filomat, Tome 37 (2023) no. 27, p. 9327

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

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.
DOI : 10.2298/FIL2327327B
Classification : 46F30, 35Q55, 35D05, 46F05, 35G25
Keywords: Fractional Heat problem, Generalized Solutions, Colombeau algebra, ψ−Caputo derivative, Laplace transforms 
Abdelmjid Benmerrous; Lalla Saadia Chadli; Abdelaziz Moujahid; M ; hamed Elomari; Said Melliani. Generalized solutions for time ψ-fractional heat equation. Filomat, Tome 37 (2023) no. 27, p. 9327 . doi: 10.2298/FIL2327327B
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     title = {Generalized solutions for time \ensuremath{\psi}-fractional heat equation},
     journal = {Filomat},
     pages = {9327 },
     year = {2023},
     volume = {37},
     number = {27},
     doi = {10.2298/FIL2327327B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2327327B/}
}
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