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Multiple Positive Solutions for a Continuous Fractional Boundary Value Problem with Fractional q−Differences |
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PP: 43-48 |
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doi:10.18576/sjm/070204
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Author(s) |
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Bo Wu,
Chengfeng Sun,
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Abstract |
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| In this paper, a continuous fractional boundary value problem invovling fractional q-derivative of the Riemann-Liouville type is considered. Using Krasnoselskii’s fixed point theorem, the existence of positive solutions for the problem is obtained. By applying Leggett-Williams fixed-point theorem, the multiplicity of positive solutions is also achieved. Moreover, two examples are presented to illustrate the existence and multiplicity of positive solutions for the problem.
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