Solution of Volterra-type integro-differential equations with a generalized Lauricella confluent hypergeometric function in the kernels
2005 ◽
Vol 2005
(8)
◽
pp. 1155-1170
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Keyword(s):
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 functionf(τ). 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.
2016 ◽
Vol 11
(6)
◽
2021 ◽
2010 ◽
Vol 53
(1)
◽
pp. 153-173
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Keyword(s):