Abstract and Applied Analysis

Perturbation Theory for Abstract Volterra Equations

Marko Kostić

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We consider additive perturbation theorems for subgenerators of (a, k)-regularized C-resolvent families. A major part of our research is devoted to the study of perturbation properties of abstract time-fractional equations, primarily from their importance in modeling of various physical phenomena. We illustrate the results with several examples.

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Abstr. Appl. Anal., Volume 2013 (2013), Article ID 307684, 26 pages.

First available in Project Euclid: 27 February 2014

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Kostić, Marko. Perturbation Theory for Abstract Volterra Equations. Abstr. Appl. Anal. 2013 (2013), Article ID 307684, 26 pages. doi:10.1155/2013/307684. https://projecteuclid.org/euclid.aaa/1393511790

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