Using Differentiation under Fractional Integral Sign to Solve Three Types of Fractional Integrals

Chii-Huei Yu

Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional integral and a new multiplication of fractional analytic functions, we can find three types of fractional integrals. In fact, our results are generalizations of classical calculus results.

Keywords: Jumarie’s modified R-L fractional integral, new multiplication, fractional analytic functions, fractional integrals.

Title: Using Differentiation under Fractional Integral Sign to Solve Three Types of Fractional Integrals

Author: Chii-Huei Yu

International Journal of Computer Science and Information Technology Research

ISSN 2348-1196 (print), ISSN 2348-120X (online)

Vol. 12, Issue 4, October 2024 - December 2024

Page No: 26-33

Research Publish Journals

Website: www.researchpublish.com

Published Date: 31-October-2024

DOI: https://doi.org/10.5281/zenodo.14016985

Vol. 12, Issue 4, October 2024 - December 2024

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Using Differentiation under Fractional Integral Sign to Solve Three Types of Fractional Integrals by Chii-Huei Yu