文章基本信息

标题：An Operational Matrix Method Based on Poly-Bernoulli Polynomials for Solving Fractional Delay Differential Equations
本地全文：下载
作者：Chang Phang ; Yoke Teng Toh ; Farah Suraya Md Nasrudin 等
期刊名称：Computation
电子版ISSN：2079-3197
出版年度：2020
卷号：8
期号：3
页码：82-93
DOI：10.3390/computation8030082
出版社：MDPI Publishing
摘要：In this work, we derive the operational matrix using poly-Bernoulli polynomials. These polynomials generalize the Bernoulli polynomials using a generating function involving a polylogarithm function. We first show some new properties for these poly-Bernoulli polynomials; then we derive new operational matrix based on poly-Bernoulli polynomials for the Atangana–Baleanu derivative. A delay operational matrix based on poly-Bernoulli polynomials is derived. The error bound of this new method is shown. We applied this poly-Bernoulli operational matrix for solving fractional delay differential equations with variable coefficients. The numerical examples show that this method is easy to use and yet able to give accurate results.
关键词：poly-Bernoulli polynomials; operational matrix; delay operational matrix; fractional delay differential equations poly-Bernoulli polynomials ; operational matrix ; delay operational matrix ; fractional delay differential equations