On a hybrid inclusion problem via hybrid boundary value conditions

Abstract

Abstract In this manuscript, the existence of solutions for a novel category of the fractional differential equation of hybrid type with hybrid boundary value conditions is studied. Also, we review the existence result for its related hybrid inclusion problem with hybrid conditions. In the end of the paper, two illustrative examples are given to demonstrate the consistency to our key results.

Keywords

• Hybrid fractional differential equation
• Inclusion problem
• Fractional Caputo derivative
• Dhage’s fixed point