Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
SPRINGEROPEN
DOI: 10.1186/1687-1847-2013-48
Keywords
fractional q-difference equation; nonlocal boundary value problems; existence; positive solutions
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Funding
- National Natural Science Foundation of China [11271372, 11201138]
- Hunan Provincial Natural Science Foundation of China [12JJ2004, 13JJ3106]
- Scientific Research Fund of Hunan Provincial Education Department [12B034]
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In this paper, we discuss the existence of positive solutions for nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the generalized Banach contraction principle, the monotone iterative method, and Krasnoselskii's fixed point theorem, some existence results of positive solutions are obtained. In addition, some examples to illustrate our results are given. MSC: 39A13, 34B18, 34A08.
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