This study proposes a numerical technique based on a hybrid of block-pulse functions and Chelyshkov polynomials to solve fractional delay differential equations. The Galerkin approach transforms the solution of fractional delay differential equations into a system of algebraic equations using the fractional operational matrix of integration for these hybrid functions. The suggested method’s accuracy and efficiency are demonstrated using numerical examples.
A Galerkin Approach for Fractional Delay Differential Equations Using Hybrid Chelyshkov Basis Functions
Conte D.;Farsimadan E.;Moradi L.
;Palmieri F.;Paternoster B.
2022-01-01
Abstract
This study proposes a numerical technique based on a hybrid of block-pulse functions and Chelyshkov polynomials to solve fractional delay differential equations. The Galerkin approach transforms the solution of fractional delay differential equations into a system of algebraic equations using the fractional operational matrix of integration for these hybrid functions. The suggested method’s accuracy and efficiency are demonstrated using numerical examples.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.