Barakat MA, Hyder AA, Almoneef AA. A novel HIV model through fractional enlarged integral and differential operators.
Sci Rep 2023;
13:7764. [PMID:
37173374 PMCID:
PMC10182053 DOI:
10.1038/s41598-023-34280-y]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/19/2022] [Accepted: 04/27/2023] [Indexed: 05/15/2023] Open
Abstract
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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