Nonautonomous lump-periodic and analytical solutions to the ($$\varvec{3+1}$$)-dimensional generalized Kadomtsev–Petviashvili equation

Alquran, Marwan; Sulaıman, Tukur Abdulkadir; Yusuf, Abdullahi; Băleanu, Dumitru

doi:10.1007/s11071-023-08403-z

Cited by 14 publications

(1 citation statement)

References 27 publications

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“…Fractional calculus is a generalization of conventional integer-order calculus to noninteger orders. For an understanding of the significance and applications of fractional calculus in many branches of science and engineering, see the following recent works, for instance [35][36][37][38][39][40][41][42][43][44]. In mathematical modeling, the Caputo fractional operator is frequently employed as a fractional derivative.…”

Section: Why the Caputo Operator? Reasons And Motivationmentioning

confidence: 99%

Fractional Optimal Control Model and Bifurcation Analysis of Human Syncytial Respiratory Virus Transmission Dynamics

Awadalla,

Alahmadi,

Cheneke

et al. 2024

Fractal Fract

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In this paper, the Caputo-based fractional derivative optimal control model is looked at to learn more about how the human respiratory syncytial virus (RSV) spreads. Model solution properties such as boundedness and non-negativity are checked and found to be true. The fundamental reproduction number is calculated by using the next-generation matrix’s spectral radius. The fractional optimal control model includes the control functions of vaccination and treatment to illustrate the impact of these interventions on the dynamics of virus transmission. In addition, the order of the derivative in the fractional optimal control problem indicates that encouraging vaccination and treatment early on can slow the spread of RSV. The overall analysis and the simulated behavior of the fractional optimum control model are in good agreement, and this is due in large part to the use of the MATLAB platform.

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