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

DOI

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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - Proceedings of the 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  - 10.2991/msam-15.2015.72
ID  - Zhang2015/08
ER  -