The Existence and Uniqueness of Riccati Fractional Differential Equation Solution and Its Approximation Applied to an Economic Growth Model

This work proposes and investigates the existence uniqueness of solutions Riccati Fractional Differential Equation (RFDE) with constant coefficients using Banach’s fixed point theorem. theorem is a on contraction mapping norm space. Furthermore, combined Adomian Decomposition Method (ADM) Kamal’s Integral Transform (KIT) used to convert solution (FDE) into an infinite polynomial series. In addition, terms series can be decomposed ADM, which assumes that function nonlinear operators The final result this study find RFDE approach economic growth model quadratic cost ADM KIT. results showed KIT very good performance. numerical presented at end work.