Solving Nonlinear Transcendental Equations by Iterative Methods with Conformable Derivatives: A General Approach

In recent years, some Newton-type schemes with noninteger derivatives have been proposed for solving nonlinear transcendental equations by using fractional (Caputo and Riemann–Liouville) conformable derivatives. It has also shown that the methods improve performance of classical schemes. this manuscript, we design point-to-point higher-order multipoint procedures propose a general technique to deduce version any iterative method integer A convergence analysis is given expected orders are obtained. As far as know, these first optimal schemes, beyond Newton procedure, developed. The numerical results support theory show new original in aspects. Additionally, dependence on initial guesses analyzed, good stability properties.