SOLUSI PERSAMAAN DIFERENSIAL FRAKSIONAL LINIER HOMOGEN DENGAN METODE MITTAG-LEFFLER
| Main Authors: | Afisha, Helfa Oktafia, Yulida, Yuni, Huda, Nurul |
|---|---|
| Format: | Article info application/pdf Journal |
| Bahasa: | eng |
| Terbitan: |
Mathematics Department, Lambung Mangkurat University
, 2016
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| Subjects: | |
| Online Access: |
http://ppjp.ulm.ac.id/index.php/epsilon/article/view/53 http://ppjp.ulm.ac.id/index.php/epsilon/article/view/53/27 |
Daftar Isi:
- The classical calculus only studies derivatives as well as differential equations of integers, whereas for non-integral integers and differential equations are not included. Thus the concept of fractional calculus, which studies the integral and non-integral order of abbreviated diferintegral including fractional differential equations (PDF). In this paper we present a method for obtaining a homogeneous linear PDF solution built in the Mittag-Leffler function in the form of a series yy (xx) = EEαα (bbb αα) = bbkkxxkkk Γ (kkkk + 1) ∞kk = 0 This series converges for xx at -1bb, 1bb. The derivative search of yy (xx), is done by deriving each term from yy (xx) using the definition of Caputo derivative followed by determining the coefficient bbkk to obtain the PDF solution.