Existence and multiplicity of positive solutions for fractional q-difference equations with parameter
by Xinhui Li; Zhenlai Han; Yan Zhao
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 5, No. 4, 2015

Abstract: In this paper, we study the boundary value problem of a class of nonlinear fractional q-difference equations with multi-point boundary conditions with parameter involving the Riemann-Liouuville fractional q-derivative. By means of the Banach contraction mapping principle, Schauder fixed point theorem and Leggett-Williams fixed point theorem, some results of existence, uniqueness, nonexistence and multiple of positive solutions are obtained. At last, examples are presented to illustrate our main results.

Online publication date: Wed, 04-Nov-2015

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