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Page 1: SOLUSI PERSAMAAN DIFERENSIAL FRACTIONAL LINIER ORDE (2 ...scholar.unand.ac.id/53619/1/coverabs.pdf · 1D 2 y(t)+ 2D y(t) 3y(t) = 0 dimana 1, 2 dan 3 adalah konstanta. Penyelesaian

SOLUSI PERSAMAAN DIFERENSIAL FRACTIONAL LINIER

ORDE (2,α) DAN (3,α) DENGAN TURUNAN TIPE JUMARIE

SKRIPSI SARJANA MATEMATIKA

OLEH :

RESTA ZILFIA

BP. 1510431043

PEMBIMBING:

Prof. Dr. Muhafzan

Zulakmal, M.Si

JURUSAN MATEMATIKA

FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM

UNIVERSITAS ANDALAS

PADANG

2019

Page 2: SOLUSI PERSAMAAN DIFERENSIAL FRACTIONAL LINIER ORDE (2 ...scholar.unand.ac.id/53619/1/coverabs.pdf · 1D 2 y(t)+ 2D y(t) 3y(t) = 0 dimana 1, 2 dan 3 adalah konstanta. Penyelesaian

ABSTRAK

Diberikan persamaan

D2αy(t)− γ1Dαy(t) + γ2y(t) = 0

dan

D3αy(t)− γ1D2αy(t) + γ2D

αy(t)− γ3y(t) = 0

dimana γ1, γ2 dan γ3 adalah konstanta. Penyelesaian persamaan diferensial frac-

tional linier orde (2, α) dan (3, α) dengan menggunakan turunan tipe

Jumarie. Beberapa contoh yang mengilustrasikan teorema utama dipaparkan.

Kata Kunci : Persamaan Diferensial Fractional, Turunan Tipe Jumarie.

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