On two fractional differential inclusions

Dumitru Baleanu; Vahid Hedayati; Shahram Rezapour; Maysaa' Mohamed Al Qurashi

doi:10.1186/s40064-016-2564-z

On two fractional differential inclusions

Springerplus. 2016 Jun 24;5(1):882. doi: 10.1186/s40064-016-2564-z. eCollection 2016.

Authors

Dumitru Baleanu¹, Vahid Hedayati², Shahram Rezapour², Maysaa' Mohamed Al Qurashi³

Affiliations

¹ Department of Mathematics, Cankaya University, Ogretmenler Cad. 14, 06530 Balgat, Ankara Turkey ; Institute of Space Sciences, Magurele, Bucharest, Romania.
² Department of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz Iran.
³ Department of Mathematics, King Saud University, Riyadh, Saudi Arabia.

Abstract

We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. To illustrate our results we present an illustrative example. We study the existence and dimension of the solution set for some fractional differential inclusions.

Keywords: Dimension solution set; Fixed point; Fractional hybrid differential inclusions.