Existence results of positive solutions to fractional differential equation with integral boundary conditions

Shu Qin Zhang

Mathematica Bohemica (2010)

  • Volume: 135, Issue: 3, page 299-317
  • ISSN: 0862-7959

Abstract

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In this paper we consider the existence, multiplicity, and nonexistence of positive solutions to fractional differential equation with integral boundary conditions. Our analysis relies on the fixed point index.

How to cite

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Zhang, Shu Qin. "Existence results of positive solutions to fractional differential equation with integral boundary conditions." Mathematica Bohemica 135.3 (2010): 299-317. <http://eudml.org/doc/38132>.

@article{Zhang2010,
abstract = {In this paper we consider the existence, multiplicity, and nonexistence of positive solutions to fractional differential equation with integral boundary conditions. Our analysis relies on the fixed point index.},
author = {Zhang, Shu Qin},
journal = {Mathematica Bohemica},
keywords = {fractional differential equation; integral boundary conditions; positive solutions; fixed point index; cone; fractional differential equation; integral boundary condition; positive solution; fixed point index; cone},
language = {eng},
number = {3},
pages = {299-317},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence results of positive solutions to fractional differential equation with integral boundary conditions},
url = {http://eudml.org/doc/38132},
volume = {135},
year = {2010},
}

TY - JOUR
AU - Zhang, Shu Qin
TI - Existence results of positive solutions to fractional differential equation with integral boundary conditions
JO - Mathematica Bohemica
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 135
IS - 3
SP - 299
EP - 317
AB - In this paper we consider the existence, multiplicity, and nonexistence of positive solutions to fractional differential equation with integral boundary conditions. Our analysis relies on the fixed point index.
LA - eng
KW - fractional differential equation; integral boundary conditions; positive solutions; fixed point index; cone; fractional differential equation; integral boundary condition; positive solution; fixed point index; cone
UR - http://eudml.org/doc/38132
ER -

References

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  7. Benchohra, M., Graef, J. R., Hamani, S., 10.1080/00036810802307579, Appl. Anal. 87 851-863 (2008). (2008) MR2458962DOI10.1080/00036810802307579
  8. Benchohra, M., Hamani, S., Boundary value problems for differential equations with fractional order, Surv. Math. Appl. 3 1-12 (2008). (2008) Zbl1157.26301MR2390179
  9. Xu, Xiaojie, Jiang, Daqing, Yuan, Chengjun, Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation, Nonlinear Anal., Theory Methods Appl. 71 4676-4688 (2009). (2009) Zbl1178.34006MR2548701
  10. Zhang, Shuqin, Existence results of positive solutions to boundary value problem for fractional differential equation, Positivity 13 585-599 (2009). (2009) Zbl1202.26018MR2511243
  11. Podlubny, I., Fractional Differential Equations, Mathematics in Science and Engineering, Academic Press, New York (1999). (1999) Zbl0924.34008MR1658022
  12. Krasnoselskii, M., Positive Solutions of Operator Equations, Noordhoff, Groningen (1964). (1964) MR0181881

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