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Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator.
- Source :
-
Advances in Difference Equations . 9/16/2015, Vol. 2015 Issue 1, p1-12. 12p. - Publication Year :
- 2015
-
Abstract
- In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: $D_{q}^{\gamma}(\phi_{p}(D_{q}^{\delta}y(t)))+f(t,y(t))=0$ ( $0< t<1$; $0<\gamma<1$; $3<\delta<4$), $y(0)=(D_{q}y)(0)=(D_{q}^{2}y)(0) =0$, $a_{1}(D_{q}y)(1)+a_{2}(D_{q}^{2}y)(1)=0$, $a_{1} +\vert a_{2}\vert \neq0$, $D_{0+}^{\gamma}y(t)|_{t=0}=0$. We make use of such a fractional q-difference boundary value problem in order to show the existence and uniqueness of positive and nondecreasing solutions by means of a familiar fixed point theorem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2015
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 109465096
- Full Text :
- https://doi.org/10.1186/s13662-015-0375-0