On Caputo–Hadamard type coupled systems of nonconvex fractional differential inclusions

Advances in Difference Equations

Thabet Abdeljawad¹  Samiha Belmor²  Fahd Jarad³ 

[1] Department of Mathematics and General Sciences, Prince Sultan University;Department of Mathematics, University of Batna 2;Department of Mathematics, Çankaya University;

关键词: Hadamard fractional integral;    Hadamard–Caputo fractional derivative;    MT $\mathcal{MT}$ -function;    P $\mathcal{P}$ -function;    Mizoguchi–Takahashi’s condition;   

DOI  :  10.1186/s13662-021-03534-2

来源: DOAJ

【 摘 要 】

Abstract This research article is mainly concerned with the existence of solutions for a coupled Caputo–Hadamard of nonconvex fractional differential inclusions equipped with boundary conditions. We derive our main result by applying Mizoguchi–Takahashi’s fixed point theorem with the help of P $\mathcal{P}$ -function characterizations.

【 授权许可】

Unknown