In this paper, we propose a procedure that can be added to any iterative scheme in order to
turn it into an iterative method for approximating all roots simultaneously of any nonlinear …

This research paper introduces a novel fractional Caputo-type simultaneous method for
finding all simple and multiple roots of polynomial equations. Without any additional …

Fractional calculus can be used to fully describe numerous real-world situations in a wide
range of scientific disciplines, including natural science, social science, electrical, chemical …

In this manuscript, we design an iterative step that can be added to any numerical process
for solving systems of nonlinear equations. By means of this addition, the resulting iterative …

In this work, we construct a new family of inverse iterative numerical technique for extracting
all roots of nonlinear equation simultaneously. Convergence analysis verifies that the …

Finding all the roots of a nonlinear equation is an important and difficult task that arises
naturally in numerous scientific and engineering applications. Sequential iterative …

We proposed and analyzed the fractional simultaneous technique for approximating all the
roots of nonlinear equations in this research study. The newly developed fractional Caputo …

This paper develops optimal family of fourth-order iterative techniques in order to find a
single root and to generalize them for simultaneous finding of all roots of polynomial …

Quantum calculus can provide new insights into the nonlinear behaviour of functions and
equations, addressing problems that may be difficult to tackle by classical calculus due to …

For solving non-linear equations, iterative root-finding methods are important because of the
broad range of applications in science and engineering. We have constructed an iterative …