A Novel Vieta–Fibonacci Projection Method for Solving a System of Fractional Integrodifferential Equations
In this paper, a new approach for numerically solving the system of fractional integrodifferential equations is devised. To approximate the issue, we employ Vieta–Fibonacci polynomials as basis functions and derive the projection method for Caputo fractional order for the first time. An efficient tr...
Main Authors: | Abdelkader Moumen, Abdelaziz Mennouni, Mohamed Bouye |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-09-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/11/18/3985 |
Similar Items
-
A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials
by: Abdelkader Moumen, et al.
Published: (2022-12-01) -
An operational matrix approach with Vieta-Fibonacci polynomial for solving generalized Caputo fractal-fractional differential equations
by: Sivalingam S M, et al.
Published: (2024-05-01) -
Designing a Matrix Collocation Method for Fractional Delay Integro-Differential Equations with Weakly Singular Kernels Based on Vieta–Fibonacci Polynomials
by: Khadijeh Sadri, et al.
Published: (2021-12-01) -
Numerical method for fractional Advection–Dispersion equation using shifted Vieta–Lucas polynomials
by: Mohammad Partohaghighi, et al.
Published: (2023-09-01) -
Orthonormal piecewise Vieta-Lucas functions for the numerical solution of the one- and two-dimensional piecewise fractional Galilei invariant advection-diffusion equations
by: Mohammad Hossein Heydari, et al.
Published: (2023-07-01)