On a Class of Abstract Time-Fractional Equations on Locally Convex Spaces

Autor: Marko Kostić, Cheng-Gang Li, Miao Li
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2012 (2012)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2012/131652
Popis: This paper is devoted to the study of abstract time-fractional equations of the following form: Dtαnu(t)+∑i=1n−1AiDtαiu(t)=ADtαu(t)+f(t), t>0, u(k)(0)=uk, k=0,...,⌈αn⌉−1, where n∈ℕ∖{1}, A and A1,...,An−1 are closed linear operators on a sequentially complete locally convex space E,0≤α1
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