On a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary conditions

Abstract

Abstract We investigate the existence of solutions for a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary value conditions. By using Dhage’s fixed point results, we prove our main existence result. Finally, we give an example to illustrate our main result.

Keywords

• Four-point sum boundary value condition
• Fractional hybrid inclusion problem
• Dhage’s fixed point result
• Fractional Caputo derivative