$Existence and multiplicity of solutions of fractional differential equations on infinite intervals$

Existence and multiplicity of solutions of fractional differential equations on infinite intervals

In this research, we investigate the existence and multiplicity of solutions for fractional differential equations on infinite intervals. By using monotone iteration, we identify two solutions, and the multiplicity of solutions is demonstrated by the Leggett–Williams fixed point theorem.

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Veröffentlicht in:	Boundary value problems 2024-02, Vol.2024 (1), p.26-13, Article 26
Hauptverfasser:	Zhou, Weichen, Hao, Zhaocai, Bohner, Martin
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Approximations and Expansions Boundary conditions Boundary value problems Difference and Functional Equations Differential equations Fixed points (mathematics) Fractional calculus Fractional differential equation Infinite intervals Intervals Leggett–Williams fixed point theorem Mathematical analysis Mathematics Mathematics and Statistics Monotone iteration Ordinary Differential Equations Partial Differential Equations
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Beschreibung
Zusammenfassung:	In this research, we investigate the existence and multiplicity of solutions for fractional differential equations on infinite intervals. By using monotone iteration, we identify two solutions, and the multiplicity of solutions is demonstrated by the Leggett–Williams fixed point theorem.
ISSN:	1687-2770 1687-2762 1687-2770
DOI:	10.1186/s13661-024-01832-8