Perturbation Theory for Abstract Volterra Equations

Author:

Kostić Marko1ORCID

Affiliation:

1. Faculty of Technical Sciences, University of Novi Sad, Trg Dositeja Obradovića 6, 21125 Novi Sad, Serbia

Abstract

We consider additive perturbation theorems for subgenerators of (a, k)-regularizedC-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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations;Difference Equations, Discrete Dynamical Systems and Applications;2016

2. Bibliography;Abstract Volterra Integro-Differential Equations;2015-05-04

3. Representation of complex powers of C-sectorial operators;Fractional Calculus and Applied Analysis;2014-06-26

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