An application of artificial neural networks for solving fractional higher-order linear integro-differential equations

DOI10.1186/s13661-023-01762-xzbMath1522.65250MaRDI QIDQ6052578

No author found.

Publication date: 22 September 2023

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

learning algorithmcost functionCaputo fractional derivativeartificial neural network approachhigher-order linear integro-differential equation

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order
• Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
• Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method
• On artificial neural networks approach with new cost functions
• On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis
• Numerical solution of nonlinear Volterra integro-differential equations of fractional order by the reproducing kernel method
• Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions
• The Approximate Solutions of Fractional Integro-Differential Equations by Using Modified Adomian Decomposition Method
• A new artificial neural network structure for solving high-order linear fractional differential equations
• An evolutionary numerical method for solving nonlinear fractional Fredholm–Volterra–Hammerstein integro–differential–delay equations with a functional bound
• Principles of Artificial Neural Networks

This page was built for publication: An application of artificial neural networks for solving fractional higher-order linear integro-differential equations