Existence of positive solutions of nonlinear fractional q-difference equation with parameter

By Xinhui Li, Zhenlai Han, Shurong Sun. Advances in Differential Equations, 2013

51 citations recorded by the source corpus.

In this paper, we study the boundary value problem of a class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional derivative. By means of a fixed point theorem in cones, some positive solutions are obtained. As applications, some examples are presented to illustrate our main results. MSC:39A13, 34B18, 34A08.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/3f4ded87bbc3d133cd5906c489c183df76c4e990

Citations in the corpus

• On Riemann‐Liouville fractional q–difference equations and their application to retarded logistic type model (2018, unknown): “xi(t) = φi(t), t ∈ Iτ , 0 < α < 1, τi = max1≤j≤nτij , (18)”