Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 27, Issue 1, 2019, Page 1-15 PDF (457.18 K) | ||||
| DOI: 10.1186/s42787-019-0048-3 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Mohamed A. E. Herzallah; Ashraf H. A. Radwan | ||||
| Faculty of Science, Zagazig University, Zagazig, Egypt | ||||
| Abstract | ||||
| This paper is devoted to study the existence of at least one continuous mild solution to semilinear fractional differential inclusion with deviated-advanced nonlocal conditions. We develop the results obtained, by exchanging the deviated-advanced nonlocal condition to an integral form. Our results will be accomplished by using the nonlinear Leray-Schauder’s alternative fixed point theorem. The main results are well illustrated with the aid of an example. | ||||
| Keywords | ||||
| Caputo derivative; Differential inclusion; Nonlocal conditions; Deviated-advanced nonlocal condition; Schauder’s fixed point theorem | ||||
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