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http://dx.doi.org/10.5666/KMJ.2016.56.2.419

Positive Solutions for Three-point Boundary Value Problem of Nonlinear Fractional q-difference Equation  

Yang, Wengui (Ministry of Public Education, Sanmenxia Polytechnic)
Publication Information
Kyungpook Mathematical Journal / v.56, no.2, 2016 , pp. 419-430 More about this Journal
Abstract
In this paper, we investigate the existence and uniqueness of positive solutions for three-point boundary value problem of nonlinear fractional q-difference equation. Some existence and uniqueness results are obtained by applying some standard fixed point theorems. As applications, two examples are presented to illustrate the main results.
Keywords
Nonlinear fractional q-difference equations; Three-point boundary conditions; Existence and uniqueness; Positive solutions; Fixed point theorem;
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