EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT

DOI10.4134/BKMS.2011.48.3.539zbMath1220.45011MaRDI QIDQ3008174

Mohamed Abdalla Darwish, Donal O'Regan, Johnny Henderson

Publication date: 14 June 2011

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=406070

zbMATH Keywords

measure of noncompactnessRiemann-Liouville fractional integralSchauder fixed point principleasymtotic behaviourquadratic fractional functional integral equationquadratic Urysohn-Volterra integral fractional equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Singular nonlinear integral equations (45G05)

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