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Volume :30 Issue : 1 2003      Add To Cart                                                                    Download

Further results on fractional calculus operators involving the appell function F3

Auther : LEDA GALUE

 Centro de Investigation de Mathematica Aplicada (CIMA). Facultad de Ingenieria. La Universidad del Zulia,e-mail: lgalue@falcon.ingduz.ve, Apartado de Correo 10482 Maracaibo, Venezuela

ABSTRACT

Decomposition formulae for fractional integrals are important and useful for treating certain problems of pure and applied mathematics using integral transforms. In this paper we present various new formulae of decomposition for the operators I(ل, ل, â, â, م) and J(ل, ل, â, â, م) which involve the Appell function F3, and we prove that they can be decomposed as a composition of two operators involving the Gauss hypergeometric function in the kernel.

Keywords: Appell function F3; decomposition formulae; fractional operators.

MSC 2000: 26A33, 33C05, 33C65, 44A15, 47G10.

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