CD Skripsi
Aproksimasi Kuadratik Integral Fraksional Riemann-Liouville Dan Turunan Caputo Serta Aplikasinya Untuk Menyelesaikan Persamaan Integral Abel
This project discusses a quadratic approximation method of the
Riemann-Liouville fractional integral and Caputo’s fractional derivative. A
quadratic polynomian is used to approach function that appear in the
definitions of Riemann-Liouville fractional integral and Caputo fractional
derivative. Using this polynomial, a quadratic approximation formula of
Riemann-Liouville fractional integral and Caputo’s fractional derivative are
obtained. Then, this quadratic approximation formula is applied to solve
Abel’s integral equation. Numerical simulations for these methods are
performed with the test examples from literature. Test examples from
literature are considered to validate the effectiveness of the presented
methods. The error values of this methods are smaller than the comparison
methods. This can be seen from the computational test.
Keywords: Riemann-Liouvile fractional integral, Caputo fractional derivative,
quadratic approximation, Abel’s integral equation
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