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Research Article | Open Access

Comparative study of tuberculosis infection by using general fractional derivative

Manvendra Narayan Mishra1( )Faten Aldosari2
Department of Mathematics, Suresh Gyan Vihar University, Jaipur, Rajasthan, India
Department of Mathematics, College of Science, Shaqra University, P.O. Box 15572, Shaqra 11961, Saudi Arabia
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Abstract

The current study examined the general fractional derivative of the fractional order in the context of an incomplete treatment of tuberculosis (TB). Utilizing the fixed-point technique and nonlinear analysis, we arrived at certain theoretical conclusions on the existence and stability of the solution. The well-known Laplace transform method was used to calculate the arithmetic output of the model under consideration. This approach depends upon an elementary principle of fractional calculus. For each case of general fractional derivative, numerical simulation was also provided, each one linked with a particular fractional order in (0, 1).

CLC number: 26A33, 92B05, 92C60

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AIMS Mathematics
Pages 1224-1247

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Cite this article:
Mishra MN, Aldosari F. Comparative study of tuberculosis infection by using general fractional derivative. AIMS Mathematics, 2025, 10(1): 1224-1247. https://doi.org/10.3934/math.2025058

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Received: 14 September 2024
Revised: 06 December 2024
Accepted: 17 December 2024
Published: 15 January 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)