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.
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页数：12
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