Lucas polynomials semi-analytic solution for fractional multi-term initial value problems
Abstract Herein, we use the generalized Lucas polynomials to find an approximate numerical solution for fractional initial value problems (FIVPs). The method depends on the operational matrices for fractional differentiation and integration of generalized Lucas polynomials in the Caputo sense. We ob...
Main Authors: | Mahmoud M. Mokhtar, Amany S. Mohamed |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-11-01
|
Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-019-2402-z |
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) -
Numerical solution of one- and two-dimensional time-fractional Burgers equation via Lucas polynomials coupled with Finite difference method
by: Ihteram Ali, et al.
Published: (2022-08-01) -
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) -
Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials
by: M. Askari
Published: (2023-12-01) -
Vieta–Lucas polynomials for solving a fractional-order mathematical physics model
by: P. Agarwal, et al.
Published: (2020-11-01)