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Polynomial Functions Composed of Terms with Non-Integer Powers
Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Istanbul, Turkey
- 1 Faculty of Naval Architecture and Ocean Engineering, Istanbul Technical University, Istanbul, Turkey
Advances in Pure Mathematics·Volume 11 (2021)·Pages 791–806·Published 13 October 2021·DOI10.4236/apm.2021.1110053
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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.
KeywordsRationalIrrationalImaginary and Transcendental PowersRoots of Functions with Variables of Non-Integer PowersCurve-Fitting by Functions Incorporating Terms with Rational PowersFractional Differential Equations
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