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On the Laguerre fractional integro-differentiation

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Article

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.

Publication

Year of publication: 2020

Identifiers

ISSN: 1065-2469

Other: 2-s2.0-85088093895

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