Generalized Method for Solving Fractional Differential Equations

This paper explores the solution of fractional-order differential equations (where 100 < α < 1) along with initial conditions using the power series method. A novel 11technique is introduced to obtain exact solutions for fractional differential equations, 12which extends to solve integer-order differential equations as well. Additionally, 13a generalized technique for finite systems is presented, accompanied by numerous 14examples and applications showcasing our results. The paper also includes graphical 15representations of the solutions.