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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
Repository DOI
Publication Date
2011-05-31
Keywords
functional integral equation, fractional integral, perturbed, linear modification of the argument, existence, asymptotic behaviour, measure of noncompactness, schauder fixed point principle, particle-transport theory, chandrasekhar
Type
Article
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Citation
Darwish, Mohamed Abdalla; Henderson, Johnny; O'Regan, Donal (2011). Existence and asymptotic stability of solutions of a perturbed fractional functional-integral equation with linear modification of the argument. Bulletin of the Korean Mathematical Society 48 (3), 539-553
Abstract
We study the solvability of a perturbed quadratic functional-integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions.
Funder
Publisher
The Korean Mathematical Society
Publisher DOI
10.4134/bkms.2011.48.3.539
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)