On the Steady Solutions of Fractional Reaction-Diffusion Equations

被引：12
|
作者：
Fazli, Hossein [1 ]
Bahrami, Fariba [1 ]
机构：
[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran
来源：
FILOMAT | 2017年 / 31卷 / 06期
关键词：
Fractional reaction-diffusion equations; fractional Sobolev spaces; existence; compact embedding; EULER-LAGRANGE EQUATIONS; DIFFERENTIAL-EQUATIONS; INITIAL CONDITIONS; ORDER; DERIVATIVES; TURBULENCE; EXISTENCE;
D O I：
10.2298/FIL1706655F
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of weak solutions for stationary fractional reaction-diffusion equations with Riemann-Liouville boundary conditions. An appropriate fractional Hilbert space is introduced and a compact embedding theorem demonstrated. Existence results are established using generalized Weierstrass theorem and relatively simple techniques from nonlinear functional analysis.
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页码：1655 / 1664
页数：10
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