文章基本信息

标题：Singular integral equation involving a multivariable analog of Mittag-Leffler function
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作者：Sebastien Gaboury ; Mehmet Ali Özarslan
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：252
DOI：10.1186/1687-1847-2014-252
语种：English
出版社：Hindawi Publishing Corporation
摘要：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 E ( ρ r ) , λ ( γ r ) , ( 1 ) ( x 1 , … , x r ) in the kernel and we provide its solution. MSC:26A33, 33E12.
关键词：fractional integrals and derivatives ; Mittag-Leffler function ; contour integral representation ; generating functions ; singular integral equation ; Laplace transform