Approximate solution of fractional order random ordinary differential equations using homotopy perturbation method.

Autor: Mohammed, Sahar A., Fadhel, Fadhel S., Hussain, Kasim A.
Předmět:
Zdroj: AIP Conference Proceedings; 2024, Vol. 3097 Issue 1, p1-11, 11p
Abstrakt: In this paper, the homotopy perturbation method will be applied to find the approximate solution of fractional order random ordinary differential equations, in which the fractional order derivatives and integrals are defined using Caputo and Riemann-Liouville definitions of fractional derivatives and integrals, respectively. Also, the convergence of the approximated solution is stated and proved in this work. The work is verified for three different examples, which are simulated for different generations of Brownian motion. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index