Generalized g-Fractional Calculus of Canavati-Type and Secant-Like Methods

Authors

George A. Anastassiou, University of MemphisFollow
Ioannis K. Argyros, Cameron University

Abstract

We present local and semilocal convergence results for secant-like methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Finally, we present some applications from generalized g-fractional calculus involving Canavati-type functions.

Publication Title

International Journal of Applied and Computational Mathematics

Recommended Citation

Anastassiou, G., & Argyros, I. (2017). Generalized g-Fractional Calculus of Canavati-Type and Secant-Like Methods. International Journal of Applied and Computational Mathematics, 3 (3), 1605-1617. https://doi.org/10.1007/s40819-016-0214-3