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:
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