Application of Sumudu and Double Sumudu Transforms To Caputo-Fractional Differential Equations

Jarad, FahdJarad, FahdTas, K.Taş, KenanMatematik2025-09-232025-09-232012Jarad, F., taş, K. (2012). Application of sumudu and double sumudu transforms to caputo-fractional differential equations. Journal Of Computational Analysis and Applications, 14(3), 475-483.1521-13981572-9206https://hdl.handle.net/20.500.12416/15180Tas, Kenan/0000-0001-8173-453X; Jarad, Fahd/0000-0002-3303-0623The definition, properties and applications of the Sumudu transform to ordinary differential equations are described in [1-3]. In this manuscript we derive the formulae for the Sumudu and double Sumudu transforms of ordinary and partial fractional derivatives and apply them in solving Caputo-fractional differential equations. Our purpose here is to show the applicability of this new transform and its efficiency in solving such problems.eninfo:eu-repo/semantics/closedAccessCaputo DerivativeSumudu TransformMittag-Leffler FunctionFourier TransformApplication of Sumudu and Double Sumudu Transforms To Caputo-Fractional Differential EquationsApplication of sumudu and double sumudu transforms to caputo-fractional differential equationsArticle2-s2.0-84856719180