On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order

Donal O'Regan

doi:10.1016/j.jmaa.2008.04.050

On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order

Donal O'Regan

Mathematics

Rzeszów University of Technology

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

86 Citations (Scopus)

Abstract

in the paper we study the existence of solutions of a nonlinear quadratic Volterra integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on an unbounded interval. Moreover, we show that solutions of this integral equation are locally attractive. (C) 2008 Elsevier Inc. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	573-582
Number of pages	10
Journal	Journal Of Mathematical Analysis And Applications
Volume	345
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2008.04.050
Publication status	Published - 1 Sep 2008

Keywords

Asymptotic stability
Integral equation of fractional order
Local attractivity
Measure of noncompactness
Quadratic integral equation

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Banas, J,O'Regan, D

Access to Document

10.1016/j.jmaa.2008.04.050

Cite this

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abstract = "in the paper we study the existence of solutions of a nonlinear quadratic Volterra integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on an unbounded interval. Moreover, we show that solutions of this integral equation are locally attractive. (C) 2008 Elsevier Inc. All rights reserved.",

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AB - in the paper we study the existence of solutions of a nonlinear quadratic Volterra integral equation of fractional order. This equation is considered in the Banach space of real functions defined, continuous and bounded on an unbounded interval. Moreover, we show that solutions of this integral equation are locally attractive. (C) 2008 Elsevier Inc. All rights reserved.

KW - Asymptotic stability

KW - Integral equation of fractional order

KW - Local attractivity

KW - Measure of noncompactness

KW - Quadratic integral equation

UR - https://www.scopus.com/pages/publications/43949139899

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DO - 10.1016/j.jmaa.2008.04.050

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EP - 582

JO - Journal Of Mathematical Analysis And Applications

JF - Journal Of Mathematical Analysis And Applications

IS - 1

ER -

On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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