A New Projection Method for a System of Fractional Cauchy Integro-Differential Equations via Vieta–Lucas Polynomials
This work presents a projection method based on Vieta–Lucas polynomials and an effective approach to solve a Cauchy-type fractional integro-differential equation system. The suggested established model overcomes two linear equation systems. We prove the existence of the problem’s approximate solutio...
Main Authors: | Abdelkader Moumen, Abdelaziz Mennouni |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2022-12-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/11/1/32 |
Similar Items
-
Approximate analytical solution of fractional-order generalized integro-differential equations via fractional derivative of shifted Vieta-Lucas polynomial
by: Kazeem Issa, et al.
Published: (2024-01-01) -
Application of shifted Vieta-Lucas polynomials for the numerical treatment of Volterra-integro differential equations
by: IKECHUKWU OTAIDE, et al.
Published: (2024-05-01) -
A Novel Vieta–Fibonacci Projection Method for Solving a System of Fractional Integrodifferential Equations
by: Abdelkader Moumen, et al.
Published: (2023-09-01) -
Numerical method for fractional Advection–Dispersion equation using shifted Vieta–Lucas polynomials
by: Mohammad Partohaghighi, et al.
Published: (2023-09-01) -
Numerical Study of Caputo Fractional-Order Differential Equations by Developing New Operational Matrices of Vieta–Lucas Polynomials
by: Zulfiqar Ahmad Noor, et al.
Published: (2022-01-01)