Variable-order fractal-fractional time delay equations with power, exponential and Mittag-Leffler laws and their numerical solutions

被引：0
作者：
J. E. Solís-Pérez
J. F. Gómez-Aguilar
机构：
[1] Interior Internado Palmira S/N,Tecnológico Nacional de México/CENIDET
[2] Col. Palmira,undefined
来源：
Engineering with Computers | 2022年 / 38卷
关键词：
Variable-order; Fractal-fractional; Delay time; Power law; Exponential decay kernel; Mittag-Leffler kernel; Numerical scheme; Lagrangian piece-wise interpolation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, a numerical method based on the Lagrangian piece-wise interpolation is proposed to solve variable-order fractal-fractional time delay equations with power law, exponential decay and Mittag-Leffler memories. These operators permit to describe physical phenomena with variable memory and fractal variable dimension. Numerical methods were applied to simulate the variable-order time delay Mackey–Glass and synaptically coupled FitzHugh–Nagumo models. Our numerical simulations display several new attractors.
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页码：555 / 577
页数：22
相关论文
共 131 条
  • [1] Caputo M(1971)A new dissipation model based on memory mechanism Pure Appl Geophys 91 134-147
  • [2] Mainardi F(2015)A new definition of fractional derivative without singular Kernel Progr Fract Differ Appl 1 73-85
  • [3] Caputo M(2019)A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag–Leffler laws Int J Heat Mass Transf 138 1222-1227
  • [4] Fabricio M(2020)On the analysis of vibration equation involving a fractional derivative with Mittag–Leffler law Math Methods Appl Sci 43 443-457
  • [5] Kumar D(2019)A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying Adva Differ Equ 2019 1-17
  • [6] Singh J(2019)A hybrid analytical algorithm for nonlinear fractional wave-like equations Math Model Nat Phenom 14 1-14
  • [7] Tanwar K(2020)An efficient computational technique for fractional model of generalized Hirota-Satsuma-coupled Korteweg-de Vries and coupled modified Korteweg-de Vries equations J Comput Nonlinear Dyn 15 1-16
  • [8] Baleanu D(2019)An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma Physica A Stat Mech Appl 524 563-575
  • [9] Kumar D(2016)New fractional derivatives with nonlocal and non-singular Kernel. Theory and application to heat transfer model Therm Sci 20 763-769
  • [10] Singh J(1995)Fractional integration and differentiation of variable order Anal Math 21 213-236
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