Solutions of Nonlinear Fractional Differential Equations with Nondifferentiable Terms

In this research, we employ a newly developed strategy based on modified version of the Adomian decomposition method (ADM) to solve nonlinear fractional differential equations (FDE) with both and nondifferential variables. FDE have disturbed interest many researchers. This is due development theory applications calculus. track from various areas can be used model fields science engineering such as fluid flows, viscoelasticity, electrochemistry, control, electromagnetic, others. Several derivative definitions been presented, including Riemann–Liouville, Caputo,and Caputo– Fabrizio derivative. We just need calculate first Adomain polynomial in technique avoiding hurdles nondifferentiable terms' remaining polynomials. Furthermore, proposed easy programme produces desired output minimal work time same processor. When compared exact solution, has advantage reducing calculation steps, while producing accurate results. The supporting evidence proves that an over traditional which explained very clear equations. Our computational examples difficult issues are prove new algorithm's efficiency. results show ADM powerful, faster convergence solution than original one. Convergence analysis discussed, also uniqueness explained.