Solution of Volterra-type integro-differential equations with a generalized Lauricella confluent hypergeometric function in the kernels

R. K. Saxena and S. L. Kalla

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-16

Abstract:

The object of this paper is to solve a fractional integro-differential equation involving a generalized Lauricella confluent hypergeometric function in several complex variables and the free term contains a continuous function f ( Ï„ ) . The method is based on certain properties of fractional calculus and the classical Laplace transform. A Cauchy-type problem involving the Caputo fractional derivatives and a generalized Volterra integral equation are also considered. Several special cases are mentioned. A number of results given recently by various authors follow as particular cases of formulas established here.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:374615

DOI: 10.1155/IJMMS.2005.1155

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