Numerical Solution of Fractional Boundary Value Problems in Chemical Engineering using the Shooting Method

Abstract

This work presents a systematic approach to solving Fractional Ordinary Differential Equations (FODEs) of boundary value problems using the Shooting Method. This approach converts a boundary value problem into an initial value problem by defining sensitivity equations. The Predictor-Corrector Method with Caputo-type fractional derivative is used to integrate this system The proposed approach is evaluated considering three case studies in Chemical Engineering. The results demonstrate that the proposed approach is a good alternative to solve this class of problems. In addition, as expected, the obtained profiles were dependent on fractional order.