INTEGRAL TRANSFORM METHOD FOR SOLVING DIFFERENT F.S.I.ES AND P.F.D.ES

Abstract

In this work, the authors used Laplace transform to obtain formalsolution to some systems of singular integral equations of fractional type. Inthe last section, the authors considered certain non homogeneous fractionalsystem of heat equations with different orders which is a generalization to theproblem of heat transferring from metallic bar through the surrounding media.Illustrative examples are also provided

Keywords

• Caputo fractional derivative,Time fractional heat equation; Laplacetransform; Fractional order singular integral equation system; Kelvin’s functions

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26. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan. P.O. Box, 1841, Rasht - Iran
27. E-mail address: [e-mail] , [e-mail]