Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

Positive Solution for P-laplace Problems with Nonlinear Time-fractional Differential Equation

Authors
Shifeng Zhang, Jihe Wang, Zhiyang Jia, Qijiu Yang
Corresponding Author
Shifeng Zhang
Available Online August 2015.
DOI
https://doi.org/10.2991/msam-15.2015.72How to use a DOI?
Keywords
weighted sobolev space; time-fractional; caputo derivative; integral transform; fixed point theorem
Abstract
In recent years, fractional differential equations are widely used in the many academic disciplines--viscoelastic mechanics, Fractal theory and so on. Furthermore, fractional differential equations can be used to describe some abnormal phenomenon. For instance, fractional convection-diffusion equation can be used to describe the fluid of abnormal infiltration phenomenon in the medium. In this paper, by means of the Arzela-Ascoli fixed point theorem, we can prove the existence of solution for the time-fractional differential equations. The conclusion is given out in detail.
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Proceedings
2015 International Conference on Modeling, Simulation and Applied Mathematics
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-15.2015.72How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Shifeng Zhang
AU  - Jihe Wang
AU  - Zhiyang Jia
AU  - Qijiu Yang
PY  - 2015/08
DA  - 2015/08
TI  - Positive Solution for P-laplace Problems with Nonlinear Time-fractional Differential Equation
BT  - 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SP  - 315
EP  - 318
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.72
DO  - https://doi.org/10.2991/msam-15.2015.72
ID  - Zhang2015/08
ER  -