Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e263"> <mml:mi>ρ</mml:mi> </mml:math> -Laplac

Rotavirus infection is a significant cause of severe diarrhea in infants and young children, contributing significantly to mortality rates worldwide. This research investigates a time fractional-order epidemic model for rotavirus under uncertain conditions, defined using the Katugampola fractional derivative (KFD). We employ a semi-analytic technique known as the Generalized Transform Variational Iterative Method (GTVIM) to solve the model, starting with specific initial conditions. This approach combines the ρ -Laplace Transform and the Variational Iterative Method. The Banach space fixed point theorem establishes the model’s existence and uniqueness. Furthermore, numerical analyses are performed for various fractional orders of two parameters to explore the dynamics of the rotavirus epidemic model.