Comparative Numerical Solution of Fractional Spline with Continuity Equations

In this paper, constructed a fractional polynomial spline to compute the solution of FDEs; the spline interpolation with fractional polynomial coefficients must be constructed using the Caputo fractional derivative. For the provided spline function, error bounds were studied and a stability analysis...

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Bibliographic Details
Published inTikrit Journal of Pure Science Vol. 28; no. 2; pp. 112 - 117
Main Authors Faraidun K. Hamasalh, Seaman S. Hamasalh
Format Journal Article
LanguageEnglish
Published Tikrit University 27.04.2023
Subjects
Caputo fractional derivative
fractional derivative
fractional polynomial
Spline polynomial
stability analysis
Taylor’s expansion
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Summary:In this paper, constructed a fractional polynomial spline to compute the solution of FDEs; the spline interpolation with fractional polynomial coefficients must be constructed using the Caputo fractional derivative. For the provided spline function, error bounds were studied and a stability analysis was completed. To consider the numerical explanation for the provided method and compared, three examples were studied. The fractional spline function, which interpolates data, appears to be useful and accurate in solving unique problems, according to the research.
ISSN:1813-1662
2415-1726
DOI:10.25130/tjps.v28i2.1344