A Fractional Definite Integral Formula and Its Applications

Chii-Huei Yu

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

Vol. 11, Issue 1, April 2023 - September 2023

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A Fractional Definite Integral Formula and Its Applications by Chii-Huei Yu