Geodesic
Multiplicity and uniqueness for a class of discrete fractional boundary value problems
Applications of Mathematics, Tome 59 (2014) no. 6, pp. 673-695.

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The paper deals with a class of discrete fractional boundary value problems. We construct the corresponding Green's function, analyse it in detail and establish several of its key properties. Then, by using the fixed point index theory, the existence of multiple positive solutions is obtained, and the uniqueness of the solution is proved by a new theorem on an ordered metric space established by M. Jleli, et al. (2012).
DOI : 10.1007/s10492-014-0079-x
Classification : 26A33, 39A05, 39A12
Keywords: fractional order; discrete fractional boundary value problem; fractional difference equation; positive solution 
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     title = {Multiplicity and uniqueness for a class of discrete fractional boundary value problems},
     journal = {Applications of Mathematics},
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Zhanmei, Lv; Yanping, Gong; Yi, Chen. Multiplicity and uniqueness for a class of discrete fractional boundary value problems. Applications of Mathematics, Tome 59 (2014) no. 6, pp. 673-695. doi : 10.1007/s10492-014-0079-x. http://geodesic.mathdoc.fr/articles/10.1007/s10492-014-0079-x/

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