A new general integral transform for solving Caputo fractional-order differential equations

There are many integral transforms that are widely used to solve many problems arising in applied mathematics and engineering. The main goal of this paper is to use a new general integral transform to solve fractional differential equations with the fractional derivative in the sense of Caputo. In addition, several illustrative examples are given to demonstrate the accurateness and effectiveness of this approach. The obtained results confirm the applicability and high accuracy of the proposedapproach to solving fractional diffrential equations.

Keywords:

Fractional differential equations , Caputo fractional derivative , Mittag-Leffler function , Integral transform