Generalized solutions for time ψ-fractional heat equation
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...
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Veröffentlicht in: | Filomat 2023, Vol.37 (27), p.9327-9337 |
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Hauptverfasser: | , , , , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | 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. |
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ISSN: | 0354-5180 2406-0933 |
DOI: | 10.2298/FIL2327327B |