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Journal of Applied Mathematics and Computing

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01.10.2012 | Applied mathematics

Existence and uniqueness of positive solutions for three-point boundary value problem with fractional q-differences

verfasst von: Sihua Liang, Jihui Zhang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2012

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Abstract

In this paper, we consider the following nonlinear q-fractional three-point boundary value problem

$$\begin{array}{l}(D_{q}^{\alpha}u)(t) + f(t,u(t))=0, \quad 0 < t < 1, 2 < \alpha< 3,\\ [2pt]u(0) = (D_qu)(0) = 0, \quad(D_qu)(1) = \beta(D_qu)(\eta),\end{array}$$

where 0<βη ^α-2<1. By using a fixed-point theorem in partially ordered sets, we obtain sufficient conditions for the existence and uniqueness of positive and nondecreasing solutions to the above boundary value problem.

Vorheriger Artikel A feasible filter SQP algorithm with global and local convergence

Nächster Artikel Dynamics of fuzzy impulsive bidirectional associative memory neural networks with time-varying delays

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Titel: Existence and uniqueness of positive solutions for three-point boundary value problem with fractional q-differences
verfasst von: Sihua Liang
Jihui Zhang
Publikationsdatum: 01.10.2012
Verlag: Springer-Verlag
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2012
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-012-0551-2

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