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

Advances in Difference Equations

article

Etemad, Sina¹  Rezapour, Shahram¹  Samei, Mohammad Esmael³ 

[1] Department of Mathematics, Azarbaijan Shahid Madani University;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, Bu-Ali Sina University

关键词: α;    ψ -contraction;    q -fractional differential equation;    Approximate endpoint property;    Boundary value inclusion problem;   

DOI  :  10.1186/s13662-020-02679-w

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY