Theories and Analytical Solutions for Fractional Differential Equations

The main objective of this paper is to propose a new ana- lytical method called the inverse fractional Aboodh transform method for solving fractional differential equations. Fractional derivatives are taken in the Riemann-Liouville and Caputo-Liouville sense. The main advantages of this method it that it is direct and concise. Various ex- amples are given to shows that the proposed method is very effcient and accurate.