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Khalouta transform and applications to Caputo-fractional differential equations

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative. We discuss some results and the existence of this integral...

Ausführliche Beschreibung

Gespeichert in:
Hauptverfasser: Nikita Kumawat, Akanksha Shukla, Manvendra Narayan Mishra, Rahul Sharma, Ravi Shanker Dubey
Format: Artigo
Sprache:Inglês
Veröffentlicht: Frontiers Media S.A. 2024-02-01
Schriftenreihe:Frontiers in Applied Mathematics and Statistics
Schlagworte:
fractional differential equation
Riemann fractional derivative
Caputo fractional derivative
Mittag-Leffler function
Khalouta transfom
Online-Zugang:https://www.frontiersin.org/articles/10.3389/fams.2024.1351526/full
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