Existence and asymptotic stability of solutions of a perturbed fractional functional-integral equation with linear modification of the argument

Mohamed Abdalla Darwish; Johnny Henderson; Donal O'Regan

doi:10.4134/BKMS.2011.48.3.539

Existence and asymptotic stability of solutions of a perturbed fractional functional-integral equation with linear modification of the argument

Mohamed Abdalla Darwish
, Johnny Henderson
, Donal O'Regan

Mathematics

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

49 Citations (Scopus)

Abstract

We study the solvability of a perturbed quadratic functional- integral equation of fractional order with linear modication of the argu- ment. This equation is considered in the Banach space of real functions dened, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions.

Original language	English
Pages (from-to)	539-553
Number of pages	15
Journal	Bulletin of the Korean Mathematical Society
Volume	48
Issue number	3
DOIs	https://doi.org/10.4134/BKMS.2011.48.3.539
Publication status	Published - 2011

Keywords

Asymptotic behaviour
Existence
Fractional integral
Functional integral equation
Linear modication of the argument
Measure of noncompactness
Perturbed
Schauder xed point principle

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10.4134/BKMS.2011.48.3.539

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abstract = "We study the solvability of a perturbed quadratic functional- integral equation of fractional order with linear modication of the argu- ment. This equation is considered in the Banach space of real functions dened, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions.",

keywords = "Asymptotic behaviour, Existence, Fractional integral, Functional integral equation, Linear modication of the argument, Measure of noncompactness, Perturbed, Schauder xed point principle",

author = "Darwish, \{Mohamed Abdalla\} and Johnny Henderson and Donal O'Regan",

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Existence and asymptotic stability of solutions of a perturbed fractional functional-integral equation with linear modification of the argument. / Darwish, Mohamed Abdalla; Henderson, Johnny; O'Regan, Donal.
In: Bulletin of the Korean Mathematical Society, Vol. 48, No. 3, 2011, p. 539-553.

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

TY - JOUR

T1 - Existence and asymptotic stability of solutions of a perturbed fractional functional-integral equation with linear modification of the argument

AU - Darwish, Mohamed Abdalla

AU - Henderson, Johnny

AU - O'Regan, Donal

PY - 2011

Y1 - 2011

N2 - We study the solvability of a perturbed quadratic functional- integral equation of fractional order with linear modication of the argu- ment. This equation is considered in the Banach space of real functions dened, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions.

AB - We study the solvability of a perturbed quadratic functional- integral equation of fractional order with linear modication of the argu- ment. This equation is considered in the Banach space of real functions dened, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions.

KW - Asymptotic behaviour

KW - Existence

KW - Fractional integral

KW - Functional integral equation

KW - Linear modication of the argument

KW - Measure of noncompactness

KW - Perturbed

KW - Schauder xed point principle

UR - https://www.scopus.com/pages/publications/79958279049

U2 - 10.4134/BKMS.2011.48.3.539

DO - 10.4134/BKMS.2011.48.3.539

M3 - Article

SN - 1015-8634

VL - 48

SP - 539

EP - 553

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 3

ER -

Existence and asymptotic stability of solutions of a perturbed fractional functional-integral equation with linear modification of the argument

Abstract

Keywords

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