Boundary Value Problem for ψ-Caputo Fractional Differential Equations in Banach Spaces via Densifiability Techniques

A novel fixed-point theorem based on the degree of nondensifiability (DND) is used in this article to examine the existence of solutions to a boundary value problem containing the ψ-Caputo fractional derivative in Banach spaces. Besides that, an example is included to verify our main results. Moreov...

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Veröffentlicht in:Mathematics (Basel) 2022-01, Vol.10 (1), p.153
Hauptverfasser: Derbazi, Choukri, Baitiche, Zidane, Benchohra, Mouffak, Zhou, Yong
Format: Artikel
Sprache:eng
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Zusammenfassung:A novel fixed-point theorem based on the degree of nondensifiability (DND) is used in this article to examine the existence of solutions to a boundary value problem containing the ψ-Caputo fractional derivative in Banach spaces. Besides that, an example is included to verify our main results. Moreover, the outcomes obtained in this research paper ameliorate and expand some previous findings in this area.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10010153