Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving ψ-Caputo fractional derivative

Abstract A Lyapunov-type inequality is established for the anti-periodic fractional boundary value problem (CDaα,ψu)(x)+f(x,u(x))=0,a<x<b,u(a)+u(b)=0,u′(a)+u′(b)=0, $$\begin{aligned} & \bigl({}^{C}D_{a}^{\alpha,\psi}u \bigr) (x)+f \bigl(x,u(x) \bigr)=0,\quad a< x< b, \\ &u(a)+u(b)=0,\qquad u'(a)+u'(...

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Hauptverfasser:	Bessem Samet, Hassen Aydi
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	SpringerOpen 2018-10-01
Schriftenreihe:	Journal of Inequalities and Applications
Schlagworte:	Lyapunov-type inequalities anti-periodic fractional boundary value problem ψ-Caputo fractional derivative eigenvalues
Online-Zugang:	http://link.springer.com/article/10.1186/s13660-018-1850-4
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