LVIM Approach to Analyse the Fractional Order Model for Childhood Diseases

In this article, the solution of a mathematical model of childhood diseases with the Jumarie fractional derivative is discussed by coupling the Laplace variational iteration method (LVIM). The solution of the proposed model not only exists but is also unique. The proposed model is dimensionally balanced as well as stable. This article aims to present an analytical approximation solution for non-linear fractional-order differential equations (FDEs) with the Jumarie derivative. The model has also demonstrated relevant numerical and graphical descriptions.

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Publication Details

Journal
Journal of Health Management
Published
2024-08-01
DOI
https://doi.org/10.1177/09720634241275830
Citations
3
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
1.19
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article

LVIM Approach to Analyse the Fractional Order Model for Childhood Diseases

Ruchi Mathur, Shivi Agarwal, Komal Bansal, Trilok Mathur et al.
3 citations
Journal of Health Management
Fractional Differential Equations Solutions
1.19
article

LVIM Approach to Analyse the Fractional Order Model for Childhood Diseases

Ruchi Mathur, Shivi Agarwal, Komal Bansal, Trilok Mathur, Neelu Pareek, Arvind Kumar Gupta
article en
3 citations

Abstract

In this article, the solution of a mathematical model of childhood diseases with the Jumarie fractional derivative is discussed by coupling the Laplace variational iteration method (LVIM). The solution of the proposed model not only exists but is also unique. The proposed model is dimensionally balanced as well as stable. This article aims to present an analytical approximation solution for non-linear fractional-order differential equations (FDEs) with the Jumarie derivative. The model has also demonstrated relevant numerical and graphical descriptions.

Journal of Health ManagementVol. 26(4)
Chandigarh University (IN), Rajasthan Technical University (IN), Birla Institute of Technology and Science, Pilani (IN)
Openalex Percentile: Top 24%
Fractional Differential Equations Solutions
1.19
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LVIM Approach to Analyse the Fractional Order Model for Childhood Diseases — Ruchi Mathur, Shivi Agarwal, et al. · Journal of Health Management (2024) | TGRS Research Map | TGRS