A Sequential Differential Problem With Caputo and Riemann Liouville Derivatives Involving Convergent Series

Abstract

In this paper, we study a new nonlinear sequential differential prob-
 lem with nonlocal integral conditions that involve convergent series. The
 problem involves two fractional order operators: Riemann-Liouville inte-
 gral, Caputo and Riemann-Liouville derivatives. We prove an existence
 and uniqueness result. Also, we prove a new existence result. We end our
 paper by presenting some illustrative examples.