Explore the study of the fractional differential equation containing the right Helfer derivative

Abstract

Motivated by the Hilfer fractional derivative, we introduced a new problem involving the right Hilfer fractional operator. We present some important results through the use of lemmas. In this context, we discuss the existence and uniqueness of the solution using the Krasnoselskii fixed point theorem. Finally, we also demonstrate the application of the obtained results with the aid of an example.