Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition
نویسندگان
چکیده
منابع مشابه
Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition
We study the existence and uniqueness theorem for the nonlinear fractional mixed Volterra-Fredholm integrodifferential equation with nonlocal initial condition dx t /dt f t, x t , ∫ t 0 k t, s, x s ds, ∫1 0 h t, s, x s ds , x 0 ∫1 0 g s x s ds, where t ∈ 0, 1 , 0 < α < 1, and f is a given function. We point out that such a kind of initial conditions or nonlocal restrictions could play an intere...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2011
ISSN: 1687-1839,1687-1847
DOI: 10.1155/2011/690653