CD Skripsi

Turunan Fraksional Fungsi Polinomial Menggunakan Pendekatan Riemann-Liouville Dan Konsep Limit

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This final project presents fractional derivatives of polynomial functions with Riemann-Liouville fractional derivative and the concept of limit. Riemann-

Liouville derivative is denoted by Dα

f (x) with α is a fractional number greater

than 0 and x is variable. Riemann-Liouville fractional derivative of a polynomial function is obtained by determining the fractional integral of the polynomial function then determining thenth derivative of the fractional integral and using some properties of the gamma function. However, some forms of functions cannot be determined by the Riemann-Liouville fractional derivative because some derivative rules such as the rule of multiplication and division of two polynomial functions and the chain rule cannot be applied so another concept is needed to determine the fractional derivative of these functions. Therefore, the concept of limit is used. The fractional derivative using the limit concept is denoted by Dαf (x) where α is in the interval (0, 1] and x is a variable. The fractional derivative of a polynomial function using the concept limit is obtained using limit properties and the Taylor series. Using the Riemann- Liouville approach to determine the fractional derivative is more complicated because it uses the gamma function while the limit concept is simpler.

Keywords: Polynomial, Riemann-Liouville fractional derivative, the concept of limit fractional derivative, gamma function

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

2003112292

Penerbit

Pekanbaru : Universitas Riau FMIPA Matematika., 2024

Deskripsi Fisik

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Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

2003112292

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

Mutia

Versi lain/terkait

Lampiran Berkas

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