Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we find the exact solution of a special fractional definite integral by using some methods. In fact, our result is a generalization of ordinary calculus result. Keywords: Jumarie’s modified R-L fractional calculus, new multiplication, fractional analytic functions, fractional definite integral. Title: Study of a Special Fractional Definite Integral Author: Chii-Huei Yu International Journal of Novel Research in Physics Chemistry & Mathematics ISSN 2394-9651 Vol. 10, Issue 2, May 2023 - August 2023 Page No: 32-36 Novelty Journals Website: www.noveltyjournals.com Published Date: 23-June-2023 DOI: https://doi.org/10.5281/zenodo.8073884 Paper Download Link (Source) https://www.noveltyjournals.com/upload/paper/Study%20of%20a%20Special%20Fractional%20Definite%20Integral-23062023-2.pdf

International Journal of Novel Research in Physics Chemistry & Mathematics, ISSN 2394-9651, Novelty Journals, Website: www.noveltyjournals.com