A method for solving differential equations of fractional order

DEMİRCİ E., ÖZALP N.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.236, sa.11, ss.2754-2762, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 236 Sayı: 11
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.cam.2012.01.005
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2754-2762
  • Anahtar Kelimeler: Fractional derivatives and integrals, Fractional differential equations, Existence of solutions, NUMERICAL-SOLUTION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we consider Caputo type fractional differential equations of order 0 < alpha < 1 with initial condition x (0) = x(0). We introduce a technique to find the exact solutions of fractional differential equations by using the solutions of integer order differential equations. Generalization of the technique to finite systems is also given. Finally, we give some examples to illustrate the applications of our results. (C) 2012 Elsevier B.V. All rights reserved.