Multiplicity and uniqueness for a class of discrete fractional boundary value problems

Lv Zhanmei; Gong Yanping; Chen Yi

Applications of Mathematics (2014)

  • Volume: 59, Issue: 6, page 673-695
  • ISSN: 0862-7940

Abstract

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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).

How to cite

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Zhanmei, Lv, Yanping, Gong, and Yi, Chen. "Multiplicity and uniqueness for a class of discrete fractional boundary value problems." Applications of Mathematics 59.6 (2014): 673-695. <http://eudml.org/doc/261999>.

@article{Zhanmei2014,
abstract = {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).},
author = {Zhanmei, Lv, Yanping, Gong, Yi, Chen},
journal = {Applications of Mathematics},
keywords = {fractional order; discrete fractional boundary value problem; fractional difference equation; positive solution; fractional order; discrete fractional boundary value problem; fractional difference equation; positive solution},
language = {eng},
number = {6},
pages = {673-695},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Multiplicity and uniqueness for a class of discrete fractional boundary value problems},
url = {http://eudml.org/doc/261999},
volume = {59},
year = {2014},
}

TY - JOUR
AU - Zhanmei, Lv
AU - Yanping, Gong
AU - Yi, Chen
TI - Multiplicity and uniqueness for a class of discrete fractional boundary value problems
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 6
SP - 673
EP - 695
AB - 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).
LA - eng
KW - fractional order; discrete fractional boundary value problem; fractional difference equation; positive solution; fractional order; discrete fractional boundary value problem; fractional difference equation; positive solution
UR - http://eudml.org/doc/261999
ER -

References

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