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Published on: August 15, 2012
A novel HIV model through fractional enlarged integral and differential operators
M A Barakat1,2, Abd-Allah Hyder3,4, Areej A Almoneef5
1Department of Computer Science, University College of Al Wajh, University of Tabuk, Tabuk, Saudi Arabia. barakat14285@yahoo.com.
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.

