On the Laguerre fractional integro-differentiation

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Yakubovich, SB (Author) FCUP

Journal

Title: Integral Transforms and Special Functions

Vol. 32

Pages: 48-66

ISSN: 1065-2469

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 0 Citations

Other information

Authenticus ID: P-00S-G59

DOI: 10.1080/10652469.2020.1792900

Abstract (EN): A fractional power interpretation of the Laguerre derivative(DxD)(alpha),D equivalent to d/dx is discussed. The corresponding fractional integrals are introduced. Mapping and semigroup properties, integral representations and Mellin transform analysis are presented. A relationship with the Riemann-Liouville fractional integrals is demonstrated. Finally, a second kind integral equation of the Volterra type, involving the Laguerre fractional integral is solved in terms of the double hypergeometric type series as the resolvent kernel.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19