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

Marko Kostić, Cheng-Gang Li and Miao Li

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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

Date: 2012
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https://doi.org/10.1155/2012/131652

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:131652

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