Abstract
In this manuscript, we talk over the existence of solutions of a class of hybrid Caputo–Hadamard fractional differential inclusions with Dirichlet boundary conditions. Our results are based on the Arzelá–Ascoli theorem and some suitable theorems of fixed point theory. As well, to illustrate our results, we confront the exceptional case of the fractional differential inclusions with examples.
Highlights
During the last decade, the subject of fractional differential equations and inclusions has been developed intensively
Hybrid fractional differential equations and inclusions, certain classes of equations and inclusions involve the fractional derivative of an unknown function hybrid with the nonlinearity depending on it
Most of the workplace on the fractional differential equations and inclusions is based on Riemann–Liouville, Caputo, and Hadamard type fractional derivatives
Summary
The subject of fractional differential equations and inclusions has been developed intensively (for example, see [1,2,3,4,5,6,7,8] and the references therein). Hybrid fractional differential equations and inclusions, certain classes of equations and inclusions involve the fractional derivative of an unknown function hybrid with the nonlinearity depending on it. They have been examined by several researchers (for example, see [13,14,15]). M, μ : C(J, R) → R, and the multifunction G : J × R → P(R) satisfies certain conditions (for more details, see [14]) Motivated by these articles, we look into the existence of solutions for the following hybrid Caputo–Hadamard fractional differential inclusion:
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
