Numerical approximation of fractional-order Volterra integrodifferential equation

DOI10.1155/2020/8875792zbMath1461.65201OpenAlexW3110914724MaRDI QIDQ2221340

Yanyan Li

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1155/2020/8875792

zbMATH Keywords

integro-differential equationfractional-order Volterra equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for functional-differential equations (65L03)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed point results in the generation of Julia and Mandelbrot sets
• Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order
• Solution of fractional integro-differential equations by using fractional differential transform method
• Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
• On fractional integro-differential equations with state-dependent delay
• Solutions of first-order Volterra type linear integrodifferential equations by collocation method
• Hermite-Hadamard- and Jensen-type inequalities for interval \((h_1,h_2)\) nonconvex function
• Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions
• Numerical solution via Laplace transforms of a fractional order evolution equation
• Fractional integro-differential equations for electromagnetic waves in dielectric media
• Recent applications of fractional calculus to science and engineering
• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• Analytical solution of the fractional Fredholm integrodifferential equation using the fractional residual power series method
• A method for fractional Volterra integro-differential equations by Laguerre polynomials
• Numerical solution of fractional integro-differential equations by least squares method and shifted Chebyshev polynomial
• Long memory processes and fractional integration in econometrics
• Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm
• Some Hermite-Jensen-Mercer type inequalities for \(k\)-Caputo-fractional derivatives and related results
• Fractional generalized Hadamard and Fejér-Hadamard inequalities for \(m\)-convex functions
• Numerical solutions of Volterra integro-differential equations using general linear method
• Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator
• Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC fractional Volterra integro-differential equations
• Boundary particle method for Laplace transformed time fractional diffusion equations
• Numerical solution of fractional integro-differential equations by a hybrid collocation method
• A Legendre collocation method for fractional integro-differential equations
• A Unified Framework for Numerically Inverting Laplace Transforms
• Multi-precision Laplace transform inversion
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• On the Atangana–Baleanu Derivative and Its Relation to the Fading Memory Concept: The Diffusion Equation Formulation
• A new approach for solving nonlinear Volterra integro-differential equations with Mittag--Leffler kernel

This page was built for publication: Numerical approximation of fractional-order Volterra integrodifferential equation