Triangular functions for operational matrix of nonlinear fractional Volterra integral equations

DOI10.1007/s12190-014-0834-xzbMath1329.65323OpenAlexW2073782299MaRDI QIDQ499984

Gennady N. Chuev, Habibollah Saeedi

Publication date: 7 October 2015

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-014-0834-x

zbMATH Keywords

numerical examplefractional calculuspiecewise linear interpolationoperational matrixtriangular functionweakly singular nonlinear fractional Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05)

Related Items (10)

Unnamed Item ⋮ ADM-TF hybrid method for nonlinear Itô-Volterra integral equations ⋮ B-spline wavelet operational method for numerical solution of time-space fractional partial differential equations ⋮ New numerical solutions for solving Kidder equation by using the rational Jacobi functions ⋮ Fractional integration operator for numerical solution of the integro-partial time fractional diffusion heat equation with weakly singular kernel ⋮ Solving state feedback control of fractional linear quadratic regulator systems using triangular functions ⋮ Unnamed Item ⋮ A fractional-order operational method for numerical treatment of multi-order fractional partial differential equation with variable coefficients ⋮ Shifted Boubaker Lagrangian approach for solving biological systems ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An efficient and fast parallel method for Volterra integral equations of Abel type
• A parallel algorithm for large systems of Volterra integral equations of Abel type
• Using triangular orthogonal functions for solving Fredholm integral equations of the second kind
• Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions
• High performance parallel numerical methods for Volterra equations with weakly singular kernels
• Fractional system identification for lead acid battery state of charge estimation
• Fractional order control strategies for power electronic buck converters
• A new set of orthogonal functions and its application to the analysis of dynamic systems
• On the order of the error in discretization methods for weakly singular second kind Volterra integral equations with non-smooth solutions
• Existence, uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels
• A new approach to the numerical solution of weakly singular Volterra integral equations.
• Scaling laws for fractional diffusion-wave equations with singular data
• Numerical solution of a nonlinear Abel type Volterra integral equation
• Nonstationary waveform relaxation methods for Abel integral equations
• An operational Haar wavelet method for solving fractional Volterra integral equations
• The Solution of Certain Integral Equations by Means of Operators of Arbitary Order
• Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
• Fractional PID Controllers for Industry Application. A Brief Introduction
• The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
• Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels
• The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
• Collocation methods for second-kind Volterra integral equations with weakly singular kernels
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels
• Contributions to the theory of heat transfer through a laminar boundary layer

This page was built for publication: Triangular functions for operational matrix of nonlinear fractional Volterra integral equations