In this work, a new optimal iterative algorithm is presented with fourth-order accuracy for root-
finding of real functions. It uses only function as well as derivative evaluation. The algorithm …

In this work, variety of complex dynamics are found in a fractional-order antimicrobial
resistance (AMR) model based on the generalized Gamma function. Firstly, the extended left …

In this paper, we have constructed new families of derivative-free three-and four-parametric
methods with and without memory for finding the roots of nonlinear equations. Error analysis …

Root‐finding methods solve equations and identify unknowns in physics, engineering, and
computer science. Memory‐based root‐seeking algorithms may look back to expedite …

The main aim to conduct this research study is to show the advantage of using fractal-
fractional differential operator over other differential operators in epidemiology. In this …

1* Department of Basic Sciences and Related Studies, Mehran University, of Engineering &
Technology, Jamshoro–76062, Pakistan; 2Department of Mathematics, Near East …

This paper proposes a modified hybrid method for solving non-linear equations that
improves computational efficiency while maintaining accuracy. The proposed method …

Scientific computation relies heavily on root finding numerical methods, which allow
accurate modelling of complicated systems in physics, engineering, and other fields …