$Lyapunov-type inequality and solution for a fractional differential equation$

Lyapunov-type inequality and solution for a fractional differential equation

In this paper, we consider the linear fractional differential equation By obtaining the Green’s function we derive the Lyapunov-type inequality for such a boundary value problem. Furthermore, we use the contraction mapping theorem to study the existence of a unique solution for the corresponding non...

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Veröffentlicht in:	Journal of inequalities and applications 2020-07, Vol.2020 (1), p.1-15, Article 181
Hauptverfasser:	Ma, Dexiang, Yang, Zifa
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Boundary value problems Contraction mapping theorem Differential equations Existence theorems Fractional differential equation Green’s function Lyapunov-type inequality Mapping Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper, we consider the linear fractional differential equation By obtaining the Green’s function we derive the Lyapunov-type inequality for such a boundary value problem. Furthermore, we use the contraction mapping theorem to study the existence of a unique solution for the corresponding nonlinear problem.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-020-02448-z