Positive Solution for P-laplace Problems with Nonlinear Time-fractional Differential Equation
Shifeng Zhang, Jihe Wang, Zhiyang Jia, Qijiu Yang
Available Online August 2015.
- https://doi.org/10.2991/msam-15.2015.72How to use a DOI?
- weighted sobolev space; time-fractional; caputo derivative; integral transform; fixed point theorem
- 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.
- 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 -