TITLE:
Polynomial Functions Composed of Terms with Non-Integer Powers
AUTHORS:
Serdar Beji
KEYWORDS:
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
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.11 No.10,
October
20,
2021
ABSTRACT: 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.