An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method

Rashid, Saima; Kubra, Khadija Tul; Sultana, Sobia; Agarwal, Praveen; Osman, M. S.

doi:10.1016/j.cam.2022.114378

Cited by 39 publications

(12 citation statements)

References 36 publications

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“…The local and global stability of biological models has recently piqued the interest of several researchers 35 , 36 . In this section, we set up certain necessary conditions for model ( 12 ) to satisfy various stability hypotheses.…”

Section: Stability Resultsmentioning

confidence: 99%

A novel HIV model through fractional enlarged integral and differential operators

Barakat

Hyder

Almoneef

2023

Sci Rep

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This article presents a novel mathematical fractional model to examine the transmission of HIV. The new HIV model is built using recently fractional enlarged differential and integral operators. The existence and uniqueness findings for the suggested fractional HIV model are investigated using Leray–Schauder nonlinear alternative (LSNA) and Banach’s fixed point (BFP) theorems. Furthermore, multiple types of Ulam stability (U-S) are created for the fractional model of HIV. It is straightforward to identify that the gained findings may be decreased to many results obtained in former works of literature.

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Section: Stability Resultsmentioning

confidence: 99%

A novel HIV model through fractional enlarged integral and differential operators

Barakat

Hyder

Almoneef

2023

Sci Rep

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“…Rashid et al. ( 2022 ) applied an algorithm for solving time-fractional Fornberg–Whitham, Klein–Gordon equations and biological population models occurring from physics and engineering. Rashid et al.…”

Section: Introductionmentioning

confidence: 99%

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials

et al. 2023

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Tuberculosis (TB) is a deadly contagious disease that affects vital organs of the body, especially the lungs. Although the disease is preventable, there are still concerns about its continued spread. Without effective prevention or appropriate treatment, TB infection can be fatal to humans. This paper presents a fractional-order TB disease (FTBD) model to analyze TB dynamics and a new optimization method to solve it. The method is based on the basis functions of generalized Laguerre polynomials (GLPs) and some new operational matrices of derivatives in the Caputo sense. Finding the optimal solution to the FTBD model is reduced to solving a system of nonlinear algebraic equations with the aid of GLPs using the Lagrange multipliers method. A numerical simulation is also carried out to determine the impact of the presented method on the susceptible, exposed, infected without treatment, infected with treatment, and recovered cases in the population.

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“…Moreover, it is applied in the solution of linear constant coefficient fractional differential equations of any commensurate order and the CRONE control-system design toolbox for the control engineering community (see [17,18] and related references therein). Recently many researchers have made tremendous contributions to the topic of fractional calculus by developing multiple fractional expressions in diverse publications (see, for instance, [19][20][21][22][23][24][25]). Also, its applications have been found in various fields of science and engineering, such as rheology, fluid flow, probability, and electrical networks.…”

Section: Introductionmentioning

confidence: 99%

Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces

et al. 2022

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This research investigates the boundedness of a p-adic fractional integral operator on p-adic Morrey–Herz spaces. In particular, p-adic central bounded mean oscillations $(C\dot{M}O)$ ( C M ˙ O ) and Lipschitz estimate for commutators of the p-adic fractional integral operator are provided as well.

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An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method

Cited by 39 publications

References 36 publications

A novel HIV model through fractional enlarged integral and differential operators

A novel HIV model through fractional enlarged integral and differential operators

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials

Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces

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