On a quadratic fractional Hammerstein-Volterra integral equation with linear modification of the argument

DOI10.1016/j.na.2011.02.035zbMath1228.45006OpenAlexW2051685770MaRDI QIDQ540230

Sotiris K. Ntouyas, Mohamed Abdalla Darwish

Publication date: 1 June 2011

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.2011.02.035

zbMATH Keywords

measure of noncompactnesslinear modification of the argumentDarbo's fixed point theoremmonotonic solutionsfractional ordersnonnegative continuous and nondecreasing solutionquadratic fractional Hammerstein-Volterra integral equation

Mathematics Subject Classification ID

Singular nonlinear integral equations (45G05) Positive solutions of integral equations (45M20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

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Cites Work

• Monotonic solutions of a perturbed quadratic fractional integral equation
• A family of solutions of the IVP for the equation \(x'(t)=ax(\lambda t), \lambda>1\)
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Existence theorems for some quadratic integral equations
• Monotonic solutions of a quadratic integral equation of Volterra type
• On monotonic solutions of an integral equation of Volterra type
• Existence theorems for a class of non-linear integral equations
• Existence of nondecreasing and continuous solutions of an integral equation with linear modification of the argument
• Monotonic solutions of a class of quadratic integral equations of Volterra type
• On quadratic integral equation of fractional orders
• Integral equations arising in the kinetic theory of gases
• Quadratic equations and applications to Chandrasekhar's and related equations
• A New Approach to the H-Equation of Chandrasekhar
• 13.—The Functional Differential Equation y′(x) = ay(λx) + by(x)
• Oscillation of the Euler differential equation with delay
• On existence and asymptotic behaviour of solutions of a fractional integral equation
• Existence and Uniqueness Theorems for the Neutron Transport Equation
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