# Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation

Darwish, Mohamed; Henderson, Johnny

Fractional Calculus and Applied Analysis (2009)

- Volume: 12, Issue: 1, page 71-86
- ISSN: 1311-0454

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topDarwish, Mohamed, and Henderson, Johnny. "Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation." Fractional Calculus and Applied Analysis 12.1 (2009): 71-86. <http://eudml.org/doc/11317>.

@article{Darwish2009,

abstract = {Mathematics Subject Classification: 45G10, 45M99, 47H09We study the solvability of a perturbed quadratic integral equation of
fractional order with linear modification of the argument. This equation is
considered in the Banach space of real functions which are defined, bounded
and continuous on an unbounded interval. Moreover, we will obtain some
asymptotic characterization of solutions. Finally, we give an example to
illustrate our abstract results.},

author = {Darwish, Mohamed, Henderson, Johnny},

journal = {Fractional Calculus and Applied Analysis},

keywords = {45G10; 45M99; 47H09},

language = {eng},

number = {1},

pages = {71-86},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation},

url = {http://eudml.org/doc/11317},

volume = {12},

year = {2009},

}

TY - JOUR

AU - Darwish, Mohamed

AU - Henderson, Johnny

TI - Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation

JO - Fractional Calculus and Applied Analysis

PY - 2009

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 12

IS - 1

SP - 71

EP - 86

AB - Mathematics Subject Classification: 45G10, 45M99, 47H09We study the solvability of a perturbed quadratic integral equation of
fractional order with linear modification of the argument. This equation is
considered in the Banach space of real functions which are defined, bounded
and continuous on an unbounded interval. Moreover, we will obtain some
asymptotic characterization of solutions. Finally, we give an example to
illustrate our abstract results.

LA - eng

KW - 45G10; 45M99; 47H09

UR - http://eudml.org/doc/11317

ER -

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