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.

引用

页码：1655 / 1664

页数：10

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