EXISTENCE OF SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS

被引：0

作者：

Ben Ali, Khaled ^{[1
]}

Ghanmi, Abdeljabbar ^{[2
]}

Kefi, Khaled ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Campus Univ, Tunis 2092, Tunisia

[2] Univ Jeddah, Fac Sci & Arts Khulais, Dept Math, Jeddah, Saudi Arabia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Fractional differential equation; left and right fractional derivatives; boundary value problem; Nehari manifold; POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we apply the Nehari manifold to prove the existence of a solution of the fractional differential equation d/dt (1/2(0)D(t)(-beta)(u'(t)) + 1/2(t)D(T)(-beta)(u'(t))) = f (t, u(t)) + lambda h(t)vertical bar u(t)vertical bar(r-2) u(t), a.e t is an element of [0, T], u(0) = u(T) = 0, where D-0(t)-beta, D-t(T)-beta are the left and right Riemann-Liouville fractional integrals, respectively, of order 0 < beta < 1.

引用

页数：11

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