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

被引:0
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作者
A. Anguraj
P. Karthikeyan
J. J. Trujillo
机构
[1] PSG College of Arts and Science,Department of Mathematics
[2] KSR College of Arts and Science,Department of Mathematics
[3] Universidad de La Laguna,Departamento de Análisis Matemático
关键词
Banach Space; Fractional Order; Fractional Differential Equation; Functional Differential Equation; Integrodifferential Equation;
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摘要
We study the existence and uniqueness theorem for the nonlinear fractional mixed Volterra-Fredholm integrodifferential equation with nonlocal initial condition [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext] 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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