| Title:
|
Existence results of positive solutions to fractional differential equation with integral boundary conditions (English) |
| Author:
|
Zhang, Shuqin |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
135 |
| Issue:
|
3 |
| Year:
|
2010 |
| Pages:
|
299-317 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
fractional differential equation |
| Keyword:
|
integral boundary conditions |
| Keyword:
|
positive solutions |
| Keyword:
|
fixed point index |
| Keyword:
|
cone |
| MSC:
|
26Axx |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 1224.26025 |
| idMR:
|
MR2683641 |
| DOI:
|
10.21136/MB.2010.140706 |
| . |
| Date available:
|
2010-07-20T18:46:56Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140706 |
| . |
| Reference:
|
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| Reference:
|
[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). Zbl 1165.34313, MR 2483665, 10.1016/j.mcm.2008.03.014 |
| Reference:
|
[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). Zbl 1152.26005, MR 2404634 |
| Reference:
|
[4] Daftardar-Gejji, Varsha, Bhalekar, Sachin: Boundary value problems for multi-term fractional differential equations.J. Math. Anal. Appl. 345 754-765 (2008). Zbl 1151.26004, MR 2429175, 10.1016/j.jmaa.2008.04.065 |
| Reference:
|
[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). Zbl 1185.26011, MR 2560222, 10.1016/j.na.2009.04.045 |
| Reference:
|
[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). Zbl 1198.26007, MR 2532767 |
| Reference:
|
[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). MR 2458962, 10.1080/00036810802307579 |
| Reference:
|
[8] Benchohra, M., Hamani, S.: Boundary value problems for differential equations with fractional order.Surv. Math. Appl. 3 1-12 (2008). Zbl 1157.26301, MR 2390179 |
| Reference:
|
[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). Zbl 1178.34006, MR 2548701 |
| Reference:
|
[10] Zhang, Shuqin: Existence results of positive solutions to boundary value problem for fractional differential equation.Positivity 13 585-599 (2009). Zbl 1202.26018, MR 2511243 |
| Reference:
|
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| Reference:
|
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| . |
