Analysis of nonlinear integral equations with Erdélyi-Kober fractional operator

DOI10.1016/J.CNSNS.2011.12.002zbMath1298.45011OpenAlexW2147834242MaRDI QIDQ446060

Xiwang Dong, Yong Zhou, JinRong Wang

Publication date: 28 August 2012

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.2011.12.002

zbMATH Keywords

local stabilitynonlinear integral equationsexistence and uniquenessErdéyi-Kober fractional operator

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fractional ordinary differential equations (34A08)

Related Items (20)

Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets ⋮ On Erdélyi-Kober type quadratic integral equation with linear modification of the argument ⋮ Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative ⋮ Numerical and analytical solutions of new generalized fractional diffusion equation ⋮ Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator ⋮ Constrained quantum motion in \(\delta\)-potential and application of a generalized integral operator ⋮ Ulam-Hyers stability for Cauchy fractional differential equation in the unit disk ⋮ Generalized weakly singular integral inequalities with applications to fractional differential equations with respect to another function ⋮ Analysis of Abel-type nonlinear integral equations with weakly singular kernels ⋮ On Erdélyi-Kober fractional Urysohn-Volterra quadratic integral equations ⋮ Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative ⋮ Spectral Collocation Method for a Class of Integro-Differential Equations with Erdelyi-Kober Fractional Operator ⋮ Fractional boundary value problem with \(\psi\)-Caputo fractional derivative ⋮ Electrical analogous in viscoelasticity ⋮ Fractional differential equations with mixed boundary conditions ⋮ Solvability of fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval ⋮ Unnamed Item ⋮ On the existence of positive solutions for generalized fractional boundary value problems ⋮ Numerical scheme for Erdélyi-Kober fractional diffusion equation using Galerkin-Hermite method ⋮ Unnamed Item

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