Author(s)

Serdar Beji

Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Istanbul, Turkey.

Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. Several special cases representing equations from different categories are investigated for their roots. Curve-fitting applications to physically meaningful data by the use of fractional functions are worked out in detail. Relevance of this rarely worked subject to solutions of fractional differential equations is pointed out and existing potential in related future work is emphasized.

Rational, Irrational, Imaginary and Transcendental Powers, Roots of Functions with Variables of Non-Integer Powers, Curve-Fitting by Functions Incorporating Terms with Rational Powers, Fractional Differential Equations

Beji, S. (2021) Polynomial Functions Composed of Terms with Non-Integer Powers. Advances in Pure Mathematics, 11, 791-806. doi: 10.4236/apm.2021.1110053.