Applications of Two Important Theorems of Fractional Calculus

Chii-Huei YU

Abstract


Abstract. In this article, we study the fundamental theorem of fractional calculus and integration by parts for fractional calculus, regarding the Jumarie type of modified Riemann-Liouville fractional derivatives. On the other hand, some examples are proposed to illustrate the applications of these two important theorems.

Keywords


Fundamental theorem of fractional calculus, Integration by parts for fractional calculus, Modified Riemann-Liouville fractional derivatives, Applications, Two important theorems.


DOI
10.12783/dtssehs/aeim2021/36005