A Study on a Nonlinear Fractional Differential Equation

Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we study a nonlinear second order fractional differential equation. The general solution of this nonlinear second order fractional differential equation can be obtained by using some techniques. Moreover, our result is a generalization of the result of ordinary differential equation. Keywords: Jumarie’s modified R-L fractional calculus, new multiplication, fractional analytic functions, nonlinear second order fractional differential equation, general solution. Title: A Study on a Nonlinear Fractional Differential Equation Author: Chii-Huei Yu International Journal of Novel Research in Computer Science and Software Engineering ISSN 2394-7314 Vol. 10, Issue 2, May 2023 - August 2023 Page No: 28-33 Novelty Journals Website: www.noveltyjournals.com Published Date: 17-June-2023 DOI: https://doi.org/10.5281/zenodo.8050316 Paper Download Link (Source) https://www.noveltyjournals.com/upload/paper/A%20Study%20on%20a%20Nonlinear%20Fractional%20Differential-17062023-3.pdfInternational Journal of Novel Research in Computer Science and Software Engineering, ISSN 2394-7314, Novelty Journals, Website: www.noveltyjournals.co