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, Pages 1-15 PDF (457.18 K) | ||
| DOI: 10.1186/s42787-019-0048-3 | ||
| 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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