Singular integral equation involving a multivariable analog of Mittag-Leffler function
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Springer International Publishing
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info:eu-repo/semantics/openAccess
Abstract
Motivated by the recent work of the second author (Özarslan in Appl. Math. Comput. 229:350-358, 2014), we present, in this paper, some fractional calculus formulas for a mild generalization of the multivariable Mittag-Leffler function, a Schläfli's type contour integral representation, some multilinear and mixed multilateral generating functions; and, finally, we consider a singular integral equation with the function [InlineEquation not available: see fulltext.] in the kernel and we provide its solution. MSC: 26A33, 33E12.
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The file in this item is the publisher version (published version) of the article.
Keywords
Functional Analysis, fractional integrals and derivatives, Mathematics, Difference and Functional Equations, Partial Differential Equations, contour integral representation, singular integral equation, Mittag-Leffler function, Analysis, Ordinary Differential Equations,, Mathematics, general, APPLIED, LAGUERRE-POLYNOMIALS
Journal or Series
Advances in Difference Equations
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Volume
2014
Issue
1
