Theories and Analytical Solutions for Fractional Differential Equations

Ali Khalouta, Abdelouahab Kadem


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


Fractional differential equations; Riemann-Liouville derivative; Caputo derivative; Aboodh transform method.

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