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- Title
New Study of the Existence and Dimension of the Set of Solutions for Nonlocal Impulsive Differential Inclusions with a Sectorial Operator.
- Authors
Alsarori, Nawal; Ghadle, Kirtiwant; Sessa, Salvatore; Saleh, Hayel; Alabiad, Sami; Du, Wei-Shih; Barbero, Alicia Cordero; Huang, Huaping; Sánchez, Juan Ramón Torregrosa
- Abstract
In this article, we are interested in a new generic class of nonlocal fractional impulsive differential inclusions with linear sectorial operator and Lipschitz multivalued function in the setting of finite dimensional Banach spaces. By modifying the definition of PC-mild solutions initiated by Shu, we succeeded to determine new conditions that sufficiently guarantee the existence of the solutions. The results are obtained by combining techniques of fractional calculus and the fixed point theorem for contraction maps. We also characterize the topological structure of the set of solutions. Finally, we provide a demonstration to address the applicability of our theoretical results.
- Subjects
DIFFERENTIAL inclusions; FRACTIONAL calculus; BANACH spaces; LINEAR operators; SET functions
- Publication
Symmetry (20738994), 2021, Vol 13, Issue 3, p491
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym13030491