| Title:
|
Existence of positive solution of a singular partial differential equation (English) |
| Author:
|
Zhang, Shuqin |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
133 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
29-40 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Motivated by Vityuk and Golushkov (2004), using the Schauder Fixed Point Theorem and the Contraction Principle, we consider existence and uniqueness of positive solution of a singular partial fractional differential equation in a Banach space concerning with fractional derivative. (English) |
| Keyword:
|
mixed Riemann-Liouville fractional derivative |
| Keyword:
|
function space concerning fractional derivative |
| Keyword:
|
existence and uniqueness |
| Keyword:
|
positive solution |
| Keyword:
|
fixed point theorem |
| MSC:
|
26A33 |
| MSC:
|
34A12 |
| MSC:
|
35F15 |
| idZBL:
|
Zbl 1199.26027 |
| idMR:
|
MR2400149 |
| DOI:
|
10.21136/MB.2008.133943 |
| . |
| Date available:
|
2009-09-24T22:34:11Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133943 |
| . |
| Reference:
|
[1] S. G. Samko, A. A. Kilbas, O. I. Marichev: Integrals and Derivatives of Fractional Order and Their Applications.Tekhnika, Minsk, 1987. (Russian) MR 0915556 |
| Reference:
|
[2] Osama L. Moustafa: On the Cauchy problem for some fractional order partial differential equations.Chaos, Solitons, Fractals 18 (2003), 135–140. MR 1984554, 10.1016/S0960-0779(02)00586-6 |
| Reference:
|
[3] A. N. Kochubei: A Cauchy problem for evolution equations of fractional order.Differential Equations 25 (1989), 967–974. MR 1014153 |
| Reference:
|
[4] A. V. Pshu: Solutions of a boundary value problem for a fractional partial differential equation.Differential Equations 39, 8 (2003), 1150–1158. MR 2198241, 10.1023/B:DIEQ.0000011289.79263.02 |
| Reference:
|
[5] A. N. Vityuk, A. V. Golushkov: Existence of solutions of systems of partial differential equations of fractional order.Nonlinear Oscillations 7 (2004 2004), 318–325. MR 2151816, 10.1007/s11072-005-0015-9 |
| Reference:
|
[6] Domenico Delbosco: Fractional calculus and function spaces.Journal of Fractional Calculus 6 (1994), 45–53. MR 1301228 |
| . |
