New results on Caputo fractional-order neutral differential inclusions without compactness

New results on Caputo fractional-order neutral differential inclusions without compactness

This article deals with existence results of Caputo fractional neutral inclusions without compactness in Banach space using weak topology. In fact, for weakly sequentially closed maps we apply fixed point theorems to obtain the existence of the solution. Furthermore, the results are manifested for f...

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Veröffentlicht in:Advances in difference equations 2019-12, Vol.2019 (1), p.1-14, Article 528
Hauptverfasser: Alqudah, Manar A., Ravichandran, C., Abdeljawad, Thabet, Valliammal, N.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Banach spaces
Difference and Functional Equations
Existence
Existence theorems
Fixed points (mathematics)
Fractional differential inclusions
Functional Analysis
Inclusions
Mathematics
Mathematics and Statistics
Multivalued map
Neutral equations
Ordinary Differential Equations
Partial Differential Equations
Semigroup theory
Topology
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Beschreibung
Zusammenfassung:This article deals with existence results of Caputo fractional neutral inclusions without compactness in Banach space using weak topology. In fact, for weakly sequentially closed maps we apply fixed point theorems to obtain the existence of the solution. Furthermore, the results are manifested for fractional neutral system held by nonlocal conditions. To justify the application of the reported results an illustration is presented.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2455-z