On Neutral Functional Differential Inclusions involving Hadamard Fractional Derivatives
1
Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2
Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1084; https://doi.org/10.3390/math7111084
Received: 29 September 2019 / Revised: 5 November 2019 / Accepted: 6 November 2019 / Published: 10 November 2019
(This article belongs to the Special Issue Fractional Differential Equations, Inclusions and Inequalities with Applications)
We prove the existence of solutions for neutral functional differential inclusions involving Hadamard fractional derivatives by applying several fixed point theorems for multivalued maps. We also construct examples for illustrating the obtained results.
Keywords:
functional fractional differential inclusions; Hadamard fractional derivative; existence; fixed point
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Ahmad, B.; Alsaedi, A.; Ntouyas, S.K.; Al-Sulami, H.H. On Neutral Functional Differential Inclusions involving Hadamard Fractional Derivatives. Mathematics 2019, 7, 1084.
Show more citation formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
