About DJPS    Editorial Board    Advisory Board    Secretary of Journal    Events & News         

 

DJPS

Diyala Journal For Pure Science

Scientific Refereed Journal Published By College of Science - University of Diyala

 

Admin of Website

djps.1402.385C

Diyala Journal For Pure Sciences DJPS

ISRA Impact Factor:3.715

P- ISSN:2222-8373, E-ISSN:2518-9255

Volume 14, Issue 2 , April . 2018

 

 

Solving Fractional Initial Value Problems by Using Hybrid Series

 

Saad Naji Al-Azzawi , Ronak Bagelany , Ahmed Murshed

 

Year: 2018, Volume: 14, Issue: 2

 

Pages: 106-121, DOI: http://dx.doi.org/10.24237/djps.1402.385C

 

Language: English

 

Download :  

 

Abstract


 

In this paper, we suggest a new method for solving fractional initial value problems of different fractional orders. We call it hybrid Series Solution (Fractional with power, Fractional with fractional, Fractional with power and fractional). The main difference between Caputo and Riemann – Liouville formulas for the fractional derivatives as mentioned. The paper focuses on finding the exact solution of Bagley-Torvik equation and other nonhomogeneous fractional differential equations, illustrated by some Theorems and examples.

 

Key words: Hybrid Series, Bagley-Torvik equation, Fractional Calculus, Caputo and Riemann - Liouville derivatives.

 

Copyright © 2017 Diyala Journal For Pure Science (DJPS) . All rights reserved
3:45