Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, some examples are provided to illustrate how to use Picard iterative method to find the approximation solution of fractional differential equation. A new multiplication of fractional analytic functions plays an important role in this paper. In fact, our results are generalization of these results of ordinary differential equations.
Keywords: Jumarie’s modified R-L fractional calculus, Picard iterative method, approximation solution, fractional differential equation, new multiplication, fractional analytic functions.
Title: Picard Iterative Method for Solving Fractional Differential Equations
Author: Chii-Huei Yu
International Journal of Computer Science and Information Technology Research
ISSN 2348-1196 (print), ISSN 2348-120X (online)
Vol. 10, Issue 4, October 2022 - December 2022
Page No: 17-23
Research Publish Journals
Website: www.researchpublish.com
Published Date: 27-October-2022
