α-ψ-contractions and solutions of a q-fractional differential inclusion with three-point boundary value conditions via computational results

Abstract

Abstract We review the existence of solutions for a three-point nonlinear q-fractional differential equation and also its related inclusion. In this way, we use α-ψ-contractions and multifunctions. Also, we provide two examples to illustrate our main results. Finally by providing some algorithms and tables, we give some numerical computations for the results.

Keywords

• α-ψ-contraction
• q-fractional differential equation
• Approximate endpoint property
• Boundary value inclusion problem