On solving non-homogeneous fractional differential equations of Euler type

Khudair, Ayad R.

doi:10.1007/s40314-013-0046-2

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Numerical Simulations1

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2024

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Cited by 15 publications

(8 citation statements)

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“…Refs. [57] , [58] , [59] , [60] , [61] , [62] , [63] , [64] ). However, to give a complete picture of the stability analysis in the previous section, we will use the fractional Euler method (FEM) 37 to solve the model numerically.…”

Section: Numerical Simulationsmentioning

confidence: 99%

Studying of COVID-19 fractional model: Stability analysis

Khalaf

Kadhim

Khudair

2023

Partial Differential Equations in Applied Mathematics

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Section: Numerical Simulationsmentioning

confidence: 99%

Studying of COVID-19 fractional model: Stability analysis

Khalaf

Kadhim

Khudair

2023

Partial Differential Equations in Applied Mathematics

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“…Fractional order derivatives are defined in a variety of ways, including Riemann-Liouville, Caputo, Grunwald Letnikov, Atangana-Baleanu, Caputo-Fabrizio, and others. For more information about fractional order definitions with applications, see, for example, [20,21] and the references therein. Throughout the article, we have used Caputo's definition.…”

Section: Preliminarymentioning

confidence: 99%

Optimal Control Design of the In-vivo HIV Fractional Model

Lazima

Khalaf

2022

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HIV is a leading cause of death, in particular, in Sub-Saharan Africa. In this paper, a fractional differential system in vivo deterministic models for HIV dynamics is presented and analyzed. The main roles played by different HIV treatment methods are investigated using fractional optimal control theory. We use three treatment regimens as system control variables to determine the best strategies for controlling the infection. The optimality system is numerically solved using the fractional Adams-Bashforth technique.

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“…Some scholar investigate the impact of self-isolation, quarantine, and contact tracing on the stopping and control of the COVID-19 pandemic using data from the New York population [25] . On the other hand, fractional differential equations play a fundamental role in the distribution of the COVID-19 pandemic [26] , [27] , so there are numerous methods to solve them [28] , [29] , [30] , [31] .…”

Section: Introductionmentioning

confidence: 99%