$The method of upper and lower solutions for a class of fractional differential coupled systems$

The method of upper and lower solutions for a class of fractional differential coupled systems

In this paper, we investigate a class of nonlocal boundary value problems of nonlinear fractional functional differential coupled systems with state dependent delays. The method of upper and lower solutions is established and some new results for the multiplicity of solutions of the boundary value p...

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Veröffentlicht in:	Advances in difference equations 2021-05, Vol.2021 (1), p.1-18, Article 263
Hauptverfasser:	Quan, Huan, Liu, Xiping, Jia, Mei
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Boundary value problems Difference and Functional Equations Differential functional differential coupled systems Functional Analysis Mathematics Mathematics and Statistics Method of upper and lower solutions Ordinary Differential Equations Partial Differential Equations Riemann–Liouville fractional derivatives State dependent delays
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Beschreibung
Zusammenfassung:	In this paper, we investigate a class of nonlocal boundary value problems of nonlinear fractional functional differential coupled systems with state dependent delays. The method of upper and lower solutions is established and some new results for the multiplicity of solutions of the boundary value problem are obtained. An example is also presented to illustrate our main results.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-021-03419-4