Existence results for sequential generalized Hilfer fractional differential inclusions with multi-point boundary conditions

In this paper, we discuss the existence of solutions for a sequential generalized Hilfer fractional differential inclusions with multi-point boundary conditions. Both cases of convex valued and nonconvex valued right-hand side are considered. Our obtained results are recent in the frame of a general...

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Veröffentlicht in:São Paulo Journal of Mathematical Sciences 2022-12, Vol.16 (2), p.1261-1279
Hauptverfasser: Lachouri, Adel, Ardjouni, Abdelouaheb, Gouri, Nesrine, Ali Khelil, Kamel
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Sprache:eng
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Zusammenfassung:In this paper, we discuss the existence of solutions for a sequential generalized Hilfer fractional differential inclusions with multi-point boundary conditions. Both cases of convex valued and nonconvex valued right-hand side are considered. Our obtained results are recent in the frame of a generalized Hilfer fractional derivative with multi-point boundary conditions via the fixed point theorems for set-valued analysis. Some pertinent examples demonstrating the effectiveness of the theoretical results are presented.
ISSN:1982-6907
2316-9028
2306-9028
DOI:10.1007/s40863-021-00273-w