Geodesic
Existence results of positive solutions to fractional differential equation with integral boundary conditions
Mathematica Bohemica, Tome 135 (2010) no. 3, pp. 299-317

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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.
DOI : 10.21136/MB.2010.140706
Classification : 26Axx, 34B15
Keywords: fractional differential equation; integral boundary conditions; positive solutions; fixed point index; cone 
Zhang, Shuqin. Existence results of positive solutions to fractional differential equation with integral boundary conditions. Mathematica Bohemica, Tome 135 (2010) no. 3, pp. 299-317. doi: 10.21136/MB.2010.140706
@article{10_21136_MB_2010_140706,
     author = {Zhang, Shuqin},
     title = {Existence results of positive solutions to fractional differential equation with integral boundary conditions},
     journal = {Mathematica Bohemica},
     pages = {299--317},
     year = {2010},
     volume = {135},
     number = {3},
     doi = {10.21136/MB.2010.140706},
     mrnumber = {2683641},
     zbl = {1224.26025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140706/}
}
TY  - JOUR
AU  - Zhang, Shuqin
TI  - Existence results of positive solutions to fractional differential equation with integral boundary conditions
JO  - Mathematica Bohemica
PY  - 2010
SP  - 299
EP  - 317
VL  - 135
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140706/
DO  - 10.21136/MB.2010.140706
LA  - en
ID  - 10_21136_MB_2010_140706
ER  - 
%0 Journal Article
%A Zhang, Shuqin
%T Existence results of positive solutions to fractional differential equation with integral boundary conditions
%J Mathematica Bohemica
%D 2010
%P 299-317
%V 135
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2010.140706/
%R 10.21136/MB.2010.140706
%G en
%F 10_21136_MB_2010_140706

[1] Kilbas, A. A., Srivastava, H. M., Trujillo, J. J.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006). | MR | Zbl

[2] Chang, Y.-K., Nieto, J. J.: Some new existence results for fractional differential inclusions with boundary conditions. Mathematical and Computer Modelling 49 605-609 (2009). | DOI | MR | Zbl

[3] Agarwal, R. P., Benchohra, M., Hamani, S.: Boundary value problems for differential inclusions with fractional order. Adv. Stu. Contemp. Math. 16 181-196 (2008). | MR | Zbl

[4] Daftardar-Gejji, Varsha, Bhalekar, Sachin: Boundary value problems for multi-term fractional differential equations. J. Math. Anal. Appl. 345 754-765 (2008). | DOI | MR | Zbl

[5] Liang, Sihua, Zhang, Jihui: Positive solutions for boundary value problems of nonlinear fractional differential equation. Nonlinear Anal., Theory Methods Appl. 71 5545-5550 (2009). | DOI | MR | Zbl

[6] Benchohra, M., Hamani, S., Ntouyas, S. K.: Boundary value problems for differential equations with fractional order and nonlocal conditions. Nonlinear Anal., Theory Methods Appl. 71 2391-2396 (2009). | MR | Zbl

[7] Benchohra, M., Graef, J. R., Hamani, S.: Existence results for boundary value problems with nonlinear fractional differential equations. Appl. Anal. 87 851-863 (2008). | DOI | MR

[8] Benchohra, M., Hamani, S.: Boundary value problems for differential equations with fractional order. Surv. Math. Appl. 3 1-12 (2008). | MR | Zbl

[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). | MR | Zbl

[10] Zhang, Shuqin: Existence results of positive solutions to boundary value problem for fractional differential equation. Positivity 13 585-599 (2009). | MR | Zbl

[11] Podlubny, I.: Fractional Differential Equations. Mathematics in Science and Engineering, Academic Press, New York (1999). | MR | Zbl

[12] Krasnoselskii, M.: Positive Solutions of Operator Equations. Noordhoff, Groningen (1964). | MR

Cité par Sources :