Open AccessBoundary value problems for Caputo-Hadamard fractional differential inclusions with Integral Conditions
Author(s) -
Ahmed Zahed,
Samira Hamani,
Johnny Henderson
Publication year - 2020
Publication title -
moroccan journal of pure and applied analysis
Language(s) - English
Resource type - Journals
ISSN - 2351-8227
DOI - 10.2478/mjpaa-2020-0006
Subject(s) - hadamard transform , mathematics , differential inclusion , boundary value problem , mathematical analysis , class (philosophy) , regular polygon , order (exchange) , differential (mechanical device) , fractional calculus , nonlinear system , value (mathematics) , convex function , geometry , physics , computer science , statistics , finance , quantum mechanics , artificial intelligence , economics , thermodynamics
For r ∈ (1, 2], the authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for r th order Caputo-Hadamard fractional differential inclusions satisfying nonlinear integral conditions. Both cases of convex and nonconvex valued right hand sides are considered.