A Study of Two Fractional Integral Problems Based on Jumarie Type of Riemann-Liouville Fractional Calculus

Chii-Huei Yu

Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we find the exact solutions of two fractional integrals. Integration by parts for fractional calculus and a new multiplication of fractional analytic functions play important roles in this article. In fact, our results are generalizations of classical calculus results. 

Keywords: Jumarie type of R-L fractional calculus, fractional integrals, integration by parts for fractional calculus, new multiplication, fractional analytic functions.

Title: A Study of Two Fractional Integral Problems Based on Jumarie Type of Riemann-Liouville Fractional Calculus

Author: Chii-Huei Yu

International Journal of Civil and Structural Engineering Research  

ISSN 2348-7607 (Online)

Vol. 12, Issue 2, October 2024 - March 2025

Page No: 15-19

Research Publish Journals

Website: www.researchpublish.com

Published Date: 23-October-2024

DOI: https://doi.org/10.5281/zenodo.13982262

Vol. 12, Issue 2, October 2024 - March 2025

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A Study of Two Fractional Integral Problems Based on Jumarie Type of Riemann-Liouville Fractional Calculus by Chii-Huei Yu