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

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 Paper Download Link (Source) https://www.researchpublish.com/papers/a-study-of-two-fractional-integral-problems-based-on-jumarie-type-of-riemann-liouville-fractional-calculus