Fractional Laplace transform method in the framework of the CTIT transformation

ÖZALP N., Mizrak O. O.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.317, ss.90-99, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 317
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.cam.2016.11.039
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.90-99
  • Anahtar Kelimeler: Laplace transform, The CTIT transformation, Fractional derivative, Linear fractional differential equations, DIFFERENTIAL-EQUATIONS, MODELS
  • Ankara Üniversitesi Adresli: Evet

Özet

We propose an adapted Laplace transform method that gives the solution of a linear fractional differential equation with constant coefficients in terms of exponential function. After we mention what the utilized transformation, the CTIT transformation, is based on, we explain how it can reduce the problem from fractional form to ordinary form when it is used with Laplace transformation, via some examples for 0 < alpha < 2 where a is the order of fractional derivative. Finally, we illustrate the applications of our results. (C) 2016 Elsevier B.V. All rights reserved.