Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition

被引：27

作者：

Anguraj, A. ^{[2
]}

Karthikeyan, P. ^{[3
]}

Trujillo, J. J. ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain

[2] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, Tamil Nadu, India

[3] KSR Coll Arts & Sci, Dept Math, Tiruchengode 637215, India

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2011年

关键词：

DIFFERENTIAL-EQUATIONS; UNIQUENESS;

D O I：

10.1155/2011/690653

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and uniqueness theorem for the nonlinear fractional mixed Volterra-Fredholm integrodifferential equation with nonlocal initial condition d(alpha)x(t)/dt(alpha) = f(t,x(t), integral t,s,x(s))ds, x(0) = integral(1)(0) g(s)x(s)ds, where t is an element of [0, 1], 0 < alpha < 1, and f is a given function. We point out that such a kind of initial conditions or nonlocal restrictions could play an interesting role in the applications of the mentioned model. The results obtainded are applied to an example.

引用

页数：12

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