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

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 Paper Download Link (Source) https://www.researchpublish.com/papers/using-differentiation-under-fractional-integral-sign-to-solve-three-types-of-fractional-integrals