paper

Evaluation of a Fractional-Calculus-based Numerical Approach to solve Ordinary Differential Equations

arXiv:2305.17009

Abstract

This article examines a new approach to solving ordinary differential equations based on Fractional-Calculus theory. Poisson and Sturm-Liouville-type problems are studied, together with different boundary conditions. Each case is analyzed and compared concerning the Finite-Difference method outcome.