A Fractional Definite Integral Formula and Its Applications

Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we obtain a fractional definite integral formula. Moreover, some examples are provided to illustrate the applications of this formula. In fact, our formula is a generalization of traditional calculus formula. Keywords: Jumarie type of R-L fractional calculus, new multiplication, fractional analytic functions, fractional definite integral formula. Title: A Fractional Definite Integral Formula and Its Applications Author: Chii-Huei Yu International Journal of Mechanical and Industrial Technology ISSN 2348-7593 (Online) Vol. 11, Issue 1, April 2023 - September 2023 Page No: 18-22 Research Publish Journals Website: www.researchpublish.com Published Date: 17-July-2023 DOI: https://doi.org/10.5281/zenodo.8154710 Paper Download Link (Source) https://www.researchpublish.com/papers/a-fractional-definite-integral-formula-and-its-applicationsInternational Journal of Mechanical and Industrial Technology, ISSN 2348-7593 (Online), Research Publish Journals, Website: www.researchpublish.co