The technique of Volterra-Stieltjes integral equations in the application to infinite systems of nonlinear integral equations of fractional orders

DOI10.1016/j.camwa.2012.03.006zbMath1268.45001OpenAlexW1983461714MaRDI QIDQ356308

Beata Rzepka, Józef Banaś

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.03.006

zbMATH Keywords

fixed point theoremfunction of bounded variationBanach sequence spaceintegral equation of fractional ordernonlinear Volterra-Stieltjes integral equation

Mathematics Subject Classification ID

Volterra integral equations (45D05)

Related Items (6)

Measures of noncompactness in the study of solutions of infinite systems of Volterra-Hammerstein-Stieltjes integral equations ⋮ Periodic solutions of Weyl fractional order integral systems^† ⋮ Unnamed Item ⋮ Analysis of Abel-type nonlinear integral equations with weakly singular kernels ⋮ Existence and stability of Stieltjes quadratic functional integral equations ⋮ Solvability of fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval

Cites Work

• Unnamed Item
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• A new approach to the theory of functional integral equations of fractional order
• Existence of solutions for a class of nonlinear Volterra singular integral equations
• On the application of measure of noncompactness to the existence of solutions for fractional differential equations
• On attractivity and asymptotic stability of solutions of a quadratic Volterra integral equation of fractional order
• On a fractional generalization of the free electron laser equation.
• An existence theorem for a class of infinite systems of integral equations
• Some properties of nonlinear Volterra--Stieltjes integral operators
• Volterra-Stieltjes integral operators
• On quadratic integral equation of fractional orders
• On solutions of an infinite system of singular integral equations
• Existence results for boundary value problems with non-linear fractional differential equations
• Existence results for Volterra-Stieltjes quadratic integral equations on an unbounded interval
• Operators of fractional integration and their applications
• Solvability of Volterra-Stieltjes operator-integral equations and their applications

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