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