Khalouta transform and applications to Caputo-fractional differential equations

Autor: Nikita Kumawat, Akanksha Shukla, Manvendra Narayan Mishra, Rahul Sharma, Ravi Shanker Dubey
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
Druh dokumentu: article
ISSN: 2297-4687
DOI: 10.3389/fams.2024.1351526
Popis: 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 transform. In addition, we also discuss the duality between Shehu transform and Khalouta transform. The numerical examples are provided to confirm the applicability and correctness of the proposed method for solving fractional differential equations.2010 Mathematics ClassificationPrimary 92B05, 92C60; Secondary 26A33.
Databáze: Directory of Open Access Journals