Analytic solution to functional differential equations via Bell’s polynomials-Reference-Cited by-同舟云学术

Analytic solution to functional differential equations via Bell’s polynomials

Published:2024-02-20 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Caratelli Diego¹,Natalini Pierpaolo²,Ricci Paolo Emilio³

Affiliation:

1. Department of Electrical Engineering , [ 5600]Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven , Netherlands

2. Dipartimento di Ingegneria Industriale, Elettronica e Meccanica , [ 00146]Università degli Studi Roma Tre, Largo San Leonardo Murialdo, 1, 00146 Roma , Italy

3. Mathematics Section , [ 00186]International Telematic University UniNettuno, Corso Vittorio Emanuele II, 39, 00186 Roma , Italy

Abstract

Abstract It is shown how to approximate the solution of functional differential equations in terms of Bell’s polynomials. Some numerical checks are shown, by using the computer algebra system Mathematica ©

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Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2005/pdf

Reference18 articles.

1. M. Abdelhakem, D. Baleanu, P. Agarwal and H. Moussa, Approximating system of ordinary differential-algebraic equations via derivative of Legendre polynomials operational matrices, Internat. J. Modern Phys. C 34 (2023), no. 03, Article ID 2350036.

2. P. Agarwal and A. A. El-Sayed, Vieta–Lucas polynomials for solving a fractional-order mathematical physics model, Adv. Difference Equ. 2020 (2020), Paper No. 626.

3. E. T. Bell, Exponential polynomials, Ann. of Math. (2) 35 (1934), no. 2, 258–277.

4. A. Bernardini, P. Natalini and P. E. Ricci, Multidimensional Bell polynomials of higher order, Comput. Math. Appl. 50 (2005), no. 10–12, 1697–1708.

5. M. Bruschi and P. E. Ricci, I polinomi di Lucas e di Tchebycheff in più variabili, Rend. Mat. (6) 13 (1980), no. 4, 507–529.