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

Abstract

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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.

How to cite

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Darwish, 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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