An extension of the multiple Erdélyi-Kober operator and representations of the generalized hypergeometric functions
Sign Up to like & getrecommendations! Published in 2018 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2018-0071
Abstract: Abstract In this paper we investigate the extension of the multiple Erdélyi-Kober fractional integral operator of Kiryakova to arbitrary complex values of parameters by the way of regularization. The regularization involves derivatives of the function… read more here.
Keywords: multiple erd; generalized hypergeometric; lyi kober; erd lyi ... See more keywords
Operational method for solving fractional differential equations with the left-and right-hand sided Erdélyi-Kober fractional derivatives
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DOI: 10.1515/fca-2020-0004
Abstract: Abstract In this paper, we first provide a survey of some basic properties of the left-and right-hand sided Erdélyi-Kober fractional integrals and derivatives and introduce their compositions in form of the composed Erdélyi-Kober operators. Then… read more here.
Keywords: left right; lyi kober; erd lyi; right hand ... See more keywords
Existence and uniqueness of solutions for coupled systems of Liouville-Caputo type fractional integrodifferential equations with Erdélyi-Kober integral conditions
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DOI: 10.1515/ijnsns-2019-0299
Abstract: Abstract In this paper, we examine a coupled system of fractional integrodifferential equations of Liouville-Caputo form with nonlinearities depending on the unknown functions, as well as their lower-order fractional derivatives and integrals supplemented with coupled… read more here.
Keywords: integrodifferential equations; liouville caputo; erd lyi; lyi kober ... See more keywords