**On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions**

#### **Ahmed Alsaedi 1, Amjad F. Albideewi 1, Sotiris K. Ntouyas 1,2 and Bashir Ahmad 1,\***


Received: 16 September 2020; Accepted: 26 October 2020; Published: 31 October 2020

**Abstract:** In this paper, we derive existence and uniqueness results for a nonlinear Caputo–Riemann–Liouville type fractional integro-differential boundary value problem with multi-point sub-strip boundary conditions, via Banach and Krasnosel'ski˘i's fixed point theorems. Examples are included for the illustration of the obtained results.

**Keywords:** Caputo derivative; Riemann–Liouville integral; multipoint and sub-strip boundary conditions; existence; fixed point theorem

**MSC:** 34A08; 34B10; 34B15
