The aim of present analysis is to obtain inverse Laplace-Carson integral transform formula with various condition and to obtain the solution of linear fractional differential equation. Illustrative example is given to demonstrate the validity, efficiency and applicability of the presented method. The solution obtained by the proposed method are in complete agreement with the solution available in the literature.
Key words: Laplace-Carson Integral, Fractional Differential Equation. MSC 2010 Classification: 33E12, 34A08
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