A NOVEL PREDICTOR-CORRECTOR SCHEME FOR SOLVING VARIABLE-ORDER FRACTIONAL DELAY DIFFERENTIAL EQUATIONS INVOLVING OPERATORS WITH MITTAG-LEFFLER KERNEL

ANTONIO CORONEL-ESCAMILLA; JOSE FRANCISCO GOMEZ-AGUILAR

首页> 外文期刊>Discrete and continuous dynamical systems▼hSeries S >A NOVEL PREDICTOR-CORRECTOR SCHEME FOR SOLVING VARIABLE-ORDER FRACTIONAL DELAY DIFFERENTIAL EQUATIONS INVOLVING OPERATORS WITH MITTAG-LEFFLER KERNEL

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A NOVEL PREDICTOR-CORRECTOR SCHEME FOR SOLVING VARIABLE-ORDER FRACTIONAL DELAY DIFFERENTIAL EQUATIONS INVOLVING OPERATORS WITH MITTAG-LEFFLER KERNEL

机译：一种新的预测校正器方案，用于求解涉及Mittag Leffler内核的运算符的可变量级延迟微分方程

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摘要

In this work we present a numerical method based on the Adams- Bashforth-Moulton scheme to solve numerically fractional delay differential equations. We focus in the fractional derivative with Mittag-Leffler kernel of type Liouville-Caputo with variable-order and the Liouville-Caputo fractional derivative with variable-order. Numerical examples are presented to show the applicability and efficiency of this novel method.

机译：在这项工作中，我们提出了一种基于Adams-Bashforth-Moulton方案的数值方法来解决数值分数延迟微分方程。我们专注于与Mittag-Leffler内核的分数衍生物，其中Liouville-Caputo型，具有可变阶和Liouville-Caputo分数衍生物，具有可变阶。提出了数值示例以显示这种新方法的适用性和效率。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2020年第3期|561-574|共14页
作者
ANTONIO CORONEL-ESCAMILLA; JOSE FRANCISCO GOMEZ-AGUILAR;
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作者单位

Tecnologico Nacional de Mexico/CENIDET Interior Internado Palmira S/N Col. Palmira C.P. 62490 Cuernavaca Morelos Mexico;

CONACyT-Tecnologico Nacional de Mexico/CENIDET Interior Internado Palmira S/N Col. Palmira C.P. 62490 Cuernavaca Morelos Mexico;

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正文语种 eng
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关键词
Fractional calculus; Mittag-Leffler kernel; Adams method; fractional delay differential equations;

机译：分数微积分;Mittag-Leffler内核;亚当斯方法;分数延迟微分方程;

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1. Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks [J] . C.J. Zú?iga-Aguilar, H.M. Romero-Ugalde, J.F. Gómez-Aguilar, Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2017,第期

机译：使用人工神经网络求解涉及Mittag-Leffler内核的可变顺序的分数微分方程
2. Time-fractional variable-order telegraph equation involving operators with Mittag-Leffler kernel [J] . Gomez-Aguilar J. F., Atangana Abdon Journal of Electromagnetic Waves and Applications . 2019,第1a3期

机译：涉及Mittag Leffler内核的运营商的时间分数可变级电报方程
3. A predator–prey model involving variable-order fractional differential equations with Mittag-Leffler kernel [J] . Khan Aziz, Alshehri Hashim M., Gómez-Aguilar J. F., Advances in Difference Equations . 2021,第a期

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4. Solving Delay Differential Equations of Pantograph Type Using Predictor-Corrector Method [C] . Hoo Yann Seong, Zanariah Abdul Majid International Conference on Mathematics, Engineering and Industrial Applications . 2015

机译：使用预测测量校正方法求解诱导仪类型的延迟微分方程
5. Numerical Approximation of Partial Differential Equations Involving Fractional Differential Operators [D] . Lei, Wenyu 2018

机译：包含分数阶微分算子的偏微分方程的数值逼近
6. A Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel [O] . Thabet Abdeljawad -1

机译：具有非奇异Mittag-Leffler核的分数算子的Lyapunov型不等式
7. A predator–prey model involving variable-order fractional differential equations with Mittag-Leffler kernel [O] . Aziz Khan, Hashim M. Alshehri, J. F. Gómez-Aguilar, 2021

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8. The Use of Fractional Integral Operators for Solving Nonhomogeneous Differential Equations [R] . Higgins, T. P. 1967

机译：分数次积分算子在求解非齐次微分方程中的应用

A NOVEL PREDICTOR-CORRECTOR SCHEME FOR SOLVING VARIABLE-ORDER FRACTIONAL DELAY DIFFERENTIAL EQUATIONS INVOLVING OPERATORS WITH MITTAG-LEFFLER KERNEL

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