Boundary value problems for Hadamard-Caputo implicit fractional differential inclusions with nonlocal conditions. (English) Zbl 07442415

Zahed, Ahmed; Hamani, Samira; Graef, John R.

Arch. Math., Brno 57, No. 5, 285-297 (2021).

Summary: In this paper, the authors establish sufficient conditions for the existence of solutions to implicit fractional differential inclusions with nonlocal conditions. Both of the cases of convex and nonconvex valued right hand sides are considered.

MSC:

26A33	Fractional derivatives and integrals
34A08	Fractional ordinary differential equations
34A60	Ordinary differential inclusions
34B15	Nonlinear boundary value problems for ordinary differential equations

Keywords:

existence; Hadamard-Caputo derivative; implicit fractional inclusion; convex and nonconvex cases