DOI: 10.24193/fpt-ro.2022.2.15

Authors: Vahid Roomi, Hojjat Afshari and Sabileh Kalantari

Abstract: This paper is generally concerned with the existence of solutions for a certain class of fractional differential inclusions with boundary conditions. By means a known fixed point theorem, some existence results are obtained. Utilizing some contractions including α-φ-Geraghty contraction, we examine the existence of solutions for some fractional differential inclusions. An example is given to illustrate the results.

Key Words and Phrases: Fixed point, fractional differential inclusion, integral boundary value problems, multifunction.

2010 Mathematics Subject Classification: 47H10, 34A08.

Published on-line: June 15th, 2022.

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