Evaluating an Improper Fractional Integral Based on Jumarie's Modified Riemann-Liouville Fractional Calculus

Abstract: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we find the solution of some type of improper fractional integral. Change of variable for fractional calculus, integration by parts for fractional calculus, fractional L’Hospital’s rule, and a new multiplication of fractional analytic functions play important roles in this article. In fact, our result is a generalization of the traditional calculus result. Keywords: Jumarie’s modified R-L fractional calculus, improper fractional integral, change of variable, integration by parts, fractional L’Hospital’s rule, new multiplication, fractional analytic functions. Title: Evaluating an Improper Fractional Integral Based on Jumarie’s Modified Riemann-Liouville Fractional Calculus Author: Chii-Huei Yu International Journal of Computer Science and Information Technology Research ISSN 2348-1196 (print), ISSN 2348-120X (online) Vol. 11, Issue 1, January 2023 - March 2023 Page No: 22-27 Research Publish Journals Website: www.researchpublish.com Published Date: 19-January-2023 DOI: https://doi.org/10.5281/zenodo.7551811 Paper Download Link (Source) https://www.researchpublish.com/papers/evaluating-an-improper-fractional-integral-based-on-jumaries-modified-riemann-liouville-fractional-calculusInternational Journal of Computer Science and Information Technology Research, ISSN 2348-1196 (print), ISSN 2348-120X (online), Research Publish Journals, Website: www.researchpublish.co