Geodesic
Existence results for a nonlinear fractional differential inclusion
Filomat, Tome 35 (2021) no. 3, p. 927

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DOI

In this paper, we establish some existence results for higher-order nonlinear fractional differential inclusions with multi-strip conditions, when the right-hand side is convex-compact as well as nonconvex-compact values. First, we use the nonlinear alternative of Leray-Schauder type for multivalued maps. We investigate the next result by using the well-known Covitz and Nadler's fixed point theorem for multivalued contractions. The results are illustrated by two examples
DOI : 10.2298/FIL2103927D
Classification : 34A08, 34A60, 34B10
Keywords: Differential inclusion, Caputo fractional derivative, multi-strip conditions, Covitz and Nadler fixed point theorem 
Habib Djourdem. Existence results for a nonlinear fractional differential inclusion. Filomat, Tome 35 (2021) no. 3, p. 927 . doi: 10.2298/FIL2103927D
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     author = {Habib Djourdem},
     title = {Existence results for a nonlinear fractional differential inclusion},
     journal = {Filomat},
     pages = {927 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103927D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103927D/}
}
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