Some contributions to the theory of abstract Volterra equations (Q2901496)
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scientific article; zbMATH DE number 6058715
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some contributions to the theory of abstract Volterra equations |
scientific article; zbMATH DE number 6058715 |
Statements
20 July 2012
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\((a
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k)\)-regularized C-resolvent families
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abstract Volterra equations
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abstract time-fractional equations
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well-posedness
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Some contributions to the theory of abstract Volterra equations (English)
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The author investigates abstract Volterra equations and abstract time-fractional equations in the setting of sequentially complete locally convex spaces. Also, he studies various types of abstract Cauchy problems linked with those type of equations. The paper is well written. Volterra equations as well as fractional equations are an important tool from the point of view of applications. For complementary references, we refer the reader to \textit{R. P. Agarwal, B. de Andrade} and \textit{C. Cuevas} [Adv. Difference Equ. 2010, Article ID 179750, 25 p. (2010; Zbl 1194.34007)]; \textit{H. R. Henríquez, C. Cuevas} and \textit{A. Caicedo} [Commun. Pure Appl. Anal. 12, No. 5, 2031--2068 (2013; Zbl 1307.34122)]; \textit{B. de Andrade, C. Cuevas} and \textit{E. Henríquez} [Math. Methods Appl. Sci. 35, No. 7, 795--811 (2012; Zbl 1243.45015)].
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