Two hybrid and non-hybrid k-dimensional inclusion systems via sequential fractional derivatives

Advances in Difference Equations

卷:2021

Fethiye Muge Sakar¹  Mostafa Fatehi²  Shahram Rezapour²  Seher Melike Aydogan³  Hashem Parvaneh Masiha⁴ 

[1] Department of Business and Administration, Dicle University;

[2] Department of Mathematics, Azarbaijan Shahid Madani University;

[3] Department of Mathematics, Istanbul Technical University;

[4] Department of Mathematics, K. N. Toosi University of Technology;

关键词: α-ψ-contraction;    Endpoint;    Inclusion system;    Sequential hybrid inclusion problem;    The Caputo derivative;   

DOI  :  10.1186/s13662-021-03606-3

来源: DOAJ

【 摘 要 】

Abstract Some complicated events can be modeled by systems of differential equations. On the other hand, inclusion systems can describe complex phenomena having some shocks better than the system of differential equations. Also, one of the interests of researchers in this field is an investigation of hybrid systems. In this paper, we study the existence of solutions for hybrid and non-hybrid k-dimensional sequential inclusion systems by considering some integral boundary conditions. In this way, we use different methods such as α-ψ contractions and the endpoint technique. Finally, we present two examples to illustrate our main results.

【 授权许可】

Unknown