The Numerical Methods of Fractional Differential Equations
DOI:
https://doi.org/10.58916/jhas.v8i4.44الكلمات المفتاحية:
Adams-Bashforth-Moulton method Caputo fractional derivative Diethelm Method, Fractional ordinary differential equations, Riemann-Liouville fractional derivativeالملخص
Differential equations with non-integer order derivatives have demonstrated are suitable models for a variety of physical events in several fields including diffusion processes and damping laws, fluid mechanics neural networks. In this study, i will discuss two numerical methods Diethelm's method and Adams-Bashforth-Moulton method for solving fractional ordinary differential equations (ODEs) with initial conditions.