On the Laguerre fractional integro-differentiation

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021

Autores

Yakubovich, SB (Autor) FCUP

Revista

Título: Integral Transforms and Special Functions

Vol. 32

Páginas: 48-66

ISSN: 1065-2469

Editora: Taylor & Francis

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 0 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19