Solvability for a system of Hadamard-type hybrid fractional differential inclusions

In this article, a new system of Hadamard-type hybrid fractional differential inclusions equipped with Dirichlet boundary conditions was constructed. By virtue of a fixed-point theorem due to B. C. Dhage, ( , Nonlinear Anal. (2006), no. 6, 1290–1306, doi: ), the existence results of solutions for th...

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Veröffentlicht in:Demonstratio mathematica 2023-06, Vol.56 (1), p.pp. 291-348
Hauptverfasser: Zhang, Keyu, Xu, Jiafa
Format: Artikel
Sprache:eng
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Zusammenfassung:In this article, a new system of Hadamard-type hybrid fractional differential inclusions equipped with Dirichlet boundary conditions was constructed. By virtue of a fixed-point theorem due to B. C. Dhage, ( , Nonlinear Anal. (2006), no. 6, 1290–1306, doi: ), the existence results of solutions for the considered problem are derived in a new norm space for multivalued maps. A numerical example is provided to illustrate our main results.
ISSN:2391-4661
2391-4661
DOI:10.1515/dema-2022-0226