Asymptotically stable solutions of a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type

DOI10.1155/2014/192542zbMath1293.45010OpenAlexW2016872690WikidataQ59057350 ScholiaQ59057350MaRDI QIDQ2249963

Mohamed Abdalla Darwish, Beata Rzepka

Publication date: 4 July 2014

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/192542

zbMATH Keywords

asymptotic stabilityBanach spacefractional quadratic functional-integral equation of Erdélyi-Kober type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (6)

Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets ⋮ On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments ⋮ Unnamed Item ⋮ On Erdélyi–Kober Quadratic Functional-Integral Equation in Banach Algebra ⋮ A fully Hadamard and Erdélyi–Kober-type integral boundary value problem of a coupled system of implicit differential equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Erdélyi-Kober type quadratic integral equation with linear modification of the argument
• Analysis of Abel-type nonlinear integral equations with weakly singular kernels
• On a quadratic fractional Hammerstein-Volterra integral equation with linear modification of the argument
• Nonlinear removal effects in time-dependent particle transport theory
• On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order
• Measures of noncompactness in the study of asymptotically stable and ultimately nondecreasing solutions of integral equations
• On local attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation
• Transmutation method for the solving Erdélyi-Kober fractional differintegral equations
• Solvability of a nonlinear integral equation of Volterra type
• Monotonic solutions of a quadratic integral equation of Volterra type
• On monotonic solutions of an integral equation of Volterra type with supremum
• Existence theorems for a class of non-linear integral equations
• On solutions of an integral equation related to traffic flow on unbounded domains
• Measures of noncompactness in the study of solutions of nonlinear differential and integral equations
• The existence and attractivity of solutions of an Urysohn integral equation on an unbounded interval
• Nondecreasing solutions of a quadratic singular Volterra integral equation
• Existence of nondecreasing and continuous solutions for a nonlinear integral equation with supremum in the kernel
• Monotonic solutions of a class of quadratic integral equations of Volterra type
• On quadratic integral equation of fractional orders
• EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS OF A PERTURBED FRACTIONAL FUNCTIONAL-INTEGRAL EQUATION WITH LINEAR MODIFICATION OF THE ARGUMENT
• An equation of Hammerstein type arising in particle transport theory
• Integral equations arising in the kinetic theory of gases
• On the solutions to a class of nonlinear integral equations arising in transport theory
• Quadratic equations and applications to Chandrasekhar's and related equations
• A New Approach to the H-Equation of Chandrasekhar
• On existence and asymptotic behaviour of solutions of a fractional integral equation
• Solvability of fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval

This page was built for publication: Asymptotically stable solutions of a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type