On local attractivity of solutions of a functional integral equation of fractional order with deviating arguments

DOI10.1016/j.cnsns.2009.11.023zbMath1222.45002OpenAlexW2065460590MaRDI QIDQ720190

Jong Yeoul Park, M. Diana Julie, Krishnan Balachandran

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.11.023

zbMATH Keywords

measures of noncompactnessSchauder fixed point theoremattractive solutionsfunctional integral equation of fractional order

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Abstract integral equations, integral equations in abstract spaces (45N05) Singular nonlinear integral equations (45G05)

Related Items (11)

Existence and attractivity of global solutions for a class of fractional quadratic integral equations in Banach space ⋮ On the attractivity of solutions for a class of multi-term fractional functional differential equations ⋮ On the solvability of non-linear fractional integral equations of product type ⋮ An existence result with numerical solution of nonlinear fractional integral equations ⋮ A result on solvability of some fractional integro-differential equations in abstract spaces ⋮ On the attractivity of the solutions of a problem involving Hilfer fractional derivative via the measure of noncompactness ⋮ Existence, attractiveness and stability of solutions for quadratic Urysohn fractional integral equations ⋮ Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument ⋮ Fixed point theorems in the Fréchet space \(\mathcal C(\mathbb R_+)\) and functional integral equations on an unbounded interval ⋮ Analysis of Abel-type nonlinear integral equations with weakly singular kernels ⋮ Attractivity for functional Volterra integral equations of convolution type

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