Geodesic
Solution of a two-dimensional Abel integral equation of the second kind
News of the Kabardin-Balkar scientific center of RAS, no. 6 (2016), pp. 75-80

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In the article we construct an explicit representation for a solution of a linear two-dimensional Abel type integral equation of the second kind with partial fractional integrals. The solution representation is given in terms of the Wright function.
Keywords: Abel integral equation, Riemann-Liouville fractional integral, Wright function. 
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     author = {A. V. Pskhu},
     title = {Solution of a two-dimensional {Abel} integral equation of the second kind},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {75--80},
     publisher = {mathdoc},
     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2016_6_a11/}
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A. V. Pskhu. Solution of a two-dimensional Abel integral equation of the second kind. News of the Kabardin-Balkar scientific center of RAS, no. 6 (2016), pp. 75-80. http://geodesic.mathdoc.fr/item/IZKAB_2016_6_a11/