Some Applications of Integration by Parts for Fractional Calculus

Chii-Huei Yu

Abstract: In this paper, we make use of the integration by parts for fractional calculus to solve some fractional integrals based on Jumarie type of modified Riemann-Liouville (R-L) fractional derivative. A new multiplication of fractional analytic functions plays an important role in this study. In fact, the method we used is a natural generalization of the integration by parts for classical calculus.

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

Title: Some Applications of Integration by Parts for Fractional Calculus

Author: Chii-Huei Yu

International Journal of Computer Science and Information Technology Research

ISSN 2348-1196 (print), ISSN 2348-120X (online)

Research Publish Journals

Vol. 10, Issue 1, January 2022 - March 2022

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Some Applications of Integration by Parts for Fractional Calculus by Chii-Huei Yu