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Existence results to positive solutions of fractional BVP with $${\varvec{q}}$$q-derivatives

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This paper investigates the existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem with fractional q-derivative $$\begin{aligned}&D_{q}^{\alpha }u(t)+f(t,u(t))=0, \quad {0 Click to show full abstract

This paper investigates the existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem with fractional q-derivative $$\begin{aligned}&D_{q}^{\alpha }u(t)+f(t,u(t))=0, \quad {00$$1-βηα-3>0. Our analysis relies a fixed point theorem in partially ordered sets. An example to illustrate our results is given.

Keywords: fractional bvp; solutions fractional; results positive; positive solutions; existence results; alpha

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2017

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