Solutions of Two-term Time Fractional Order Differential Equations with Nonlocal Initial Conditions
نویسنده
چکیده
We study the existence of mild solutions for the two-term fractional order abstract differential equation Dα+1 t u(t)+ μD β t u(t)−Au(t) = D α−1 t f (t,u(t)), t ∈ [0,1], 0 < α ≤ β ≤ 1, μ ≥ 0, with nonlocal initial conditions and where A is a linear operator of sectorial type. To achieve our goal, we use a new mixed method, which combines a generalization of the theory of C0semigroups, Hausdorff measure of noncompactness and a fixed point argument.
منابع مشابه
$L^p$-existence of mild solutions of fractional differential equations in Banach space
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