Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness
نویسندگان
چکیده
منابع مشابه
Nonlocal Problem for Fractional Evolution Equations of Mixed Type with the Measure of Noncompactness
and Applied Analysis 3 Definition 2 (see [3]). The Caputo fractional derivative of order q > 0 with the lower limit zero for a function u is defined as C D q t u (t) = 1 Γ (n − q) ∫ t 0 (t − s) n−q−1 u (n) (s) ds, t > 0, 0 ≤ n − 1 < q < n, (8) where the function u(t) has absolutely continuous derivatives up to order n − 1. If u is an abstract function with values in E, then the integrals which ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/784816