Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblKeywords: mixed Riemann-Liouville fractional derivative; function space concerning fractional derivative; existence and uniqueness; positive solution; fixed point theorem
Zhang, Shuqin. Existence of positive solution of a singular partial differential equation. Mathematica Bohemica, Tome 133 (2008) no. 1, pp. 29-40. doi: 10.21136/MB.2008.133943
@article{10_21136_MB_2008_133943,
author = {Zhang, Shuqin},
title = {Existence of positive solution of a singular partial differential equation},
journal = {Mathematica Bohemica},
pages = {29--40},
year = {2008},
volume = {133},
number = {1},
doi = {10.21136/MB.2008.133943},
mrnumber = {2400149},
zbl = {1199.26027},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2008.133943/}
}
TY - JOUR AU - Zhang, Shuqin TI - Existence of positive solution of a singular partial differential equation JO - Mathematica Bohemica PY - 2008 SP - 29 EP - 40 VL - 133 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2008.133943/ DO - 10.21136/MB.2008.133943 LA - en ID - 10_21136_MB_2008_133943 ER -
[1] S. G. Samko, A. A. Kilbas, O. I. Marichev: Integrals and Derivatives of Fractional Order and Their Applications. Tekhnika, Minsk, 1987. (Russian) | MR
[2] Osama L. Moustafa: On the Cauchy problem for some fractional order partial differential equations. Chaos, Solitons, Fractals 18 (2003), 135–140. | DOI | MR
[3] A. N. Kochubei: A Cauchy problem for evolution equations of fractional order. Differential Equations 25 (1989), 967–974. | MR
[4] A. V. Pshu: Solutions of a boundary value problem for a fractional partial differential equation. Differential Equations 39, 8 (2003), 1150–1158. | DOI | MR
[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. | DOI | MR
[6] Domenico Delbosco: Fractional calculus and function spaces. Journal of Fractional Calculus 6 (1994), 45–53. | MR
Cité par Sources :