On Properties of α-Sumudu Transform and Applications
Abstract:The α-Sumudu transform is defined and its properties are
proved. α-Sumudu transform of convolution product and composition of
functions is obtained. The α-Sumudu transform of Riemann-Liouville
integral and derivatives of fractional order are determined. As an application, the solution of Initial Value Problems with Riemann-Liouville derivative of fractional order is obtained. .
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