Application of Fractional Power Series Method in Solving Fractional Differential Equations

Chii-Huei Yu

Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional derivative and a new multiplication of fractional power series, we use some examples to illustrate how to use fractional power series method to solve fractional differential equations. In fact, our results are generalizations of the results of ordinary differential equations.

Keywords: Jumarie type of R-L fractional derivative, new multiplication, fractional power series, fractional differential equations.

Title: Application of Fractional Power Series Method in Solving Fractional Differential Equations

Author: Chii-Huei Yu

International Journal of Mechanical and Industrial Technology      

ISSN 2348-7593 (Online)

Vol. 11, Issue 1, April 2023 - September 2023

Page No: 1-6

Research Publish Journals

Website: www.researchpublish.com

Published Date: 22-April-2023

DOI: https://doi.org/10.5281/zenodo.7855096

Vol. 11, Issue 1, April 2023 - September 2023

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Application of Fractional Power Series Method in Solving Fractional Differential Equations by Chii-Huei Yu