Monotonic solutions of a perturbed quadratic fractional integral equation

DOI10.1016/j.na.2009.04.041zbMath1177.45004OpenAlexW2028745604MaRDI QIDQ732583

Mohamed Abdalla Darwish, Sotiris K. Ntouyas

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.041

zbMATH Keywords

measure of noncompactnessmonotone solutionsDarbo fixed point theoremquadratic fractional integral equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (11)

A new contraction condition and its application to weakly singular Volterra integral equations of the second kind ⋮ Nondecreasing solutions of a quadratic integral equation of Urysohn-Stieltjes type ⋮ Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument ⋮ On quadratic integral equations in Orlicz spaces ⋮ Existence of solutions for a class of nonlinear Volterra singular integral equations ⋮ Nondecreasing solutions of a quadratic Abel equation with supremum in the kernel ⋮ On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order ⋮ ON URYSOHN-VOLTERRA FRACTIONAL QUADRATIC INTEGRAL EQUATIONS ⋮ On a perturbed quadratic fractional integral equation of Abel type ⋮ On a quadratic fractional Hammerstein-Volterra integral equation with linear modification of the argument ⋮ On local attractivity of solutions of a functional integral equation of fractional order with deviating arguments

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