EXACT SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATION BY USING FIRST INTEGRAL METHOD

In this thesis, we consider a class of nonlinear fractional differential equations has gained substantial attention due to their applicability in various fields such as physics, engineering, and finance. This study focuses on employing the first integral method to derive exact solutions for specific classes of fractional differential equations. The first integral method embedded Adomian Decomposition method offers a systematic approach to solve nonlinear differential equations by transforming them in to simpler forms, facilitating the identification of their integrals. We demonstrate the efficacy of this method through a series of illustrative examples, showcasing how it can be applied to get exact solutions. Our findings reveal that the first integral method not only yields precise analytical solutions but also enhances the understanding of the underlying dynamics of the fractional systems studied. This research provides a template for further investigating’s into the broad class of fractional differential equations, highlighting the first integral method as a powerful tool for obtaining exact solutions 4<br>