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Diyala Journal for Pure Science

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


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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


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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.


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