Existence results for fractional differential inclusions with Erdélyi-Kober fractional integral conditions

Author:

Ahmad Bashir1,Ntouyas Sotiris K.21

Affiliation:

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

Abstract

Abstract In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions. We apply endpoint theory, Krasnoselskii’s multi-valued fixed point theorem and Wegrzyk's fixed point theorem for generalized contractions. For the illustration of our results, we include examples.

Publisher

Walter de Gruyter GmbH

Reference23 articles.

1. [1] M. Kisielewicz, Stochastic diérential inclusions and applications, Springer Optimization and Its Applications, 80. Springer, New York, 2013.

2. [2] B. Ahmad, S.K. Ntouyas, Existence results for higher order fractional diérential inclusions with multi-strip fractional integral boundary con- ditions, Electron. J. Qual. Theory Diér. Equ. (2013), No. 20, 19 pp.

3. [3] S. Balochian, M. Nazari, Stability of particular class of fractional diér- ential inclusion systems with input delay. Control Intell. Syst. 42 (2014), no. 4, 279-283.

4. [4] X. Wang, P. Schiavone, Harmonic three-phase circular inclusions in _nite elasticity, Contin. Mech. Thermodyn. 27 (2015), no. 4-5, 739-747.

5. [5] J. Sun, Q. Yin, Robust fault-tolerant full-order and reduced-order ob- server synchronization for diérential inclusion chaotic systems with un- known disturbances and parameters, J. Vib. Control 21 (2015), no. 11, 2134-2148.

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