On Hyers-Ulam Stability for Fractional Differential Equations Including the New Caputo-Fabrizio Fractional Derivative


Basci Y., ÖĞREKÇİ S., MISIR A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.16, sa.5, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Konu: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00009-019-1407-x
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS

Özet

In this paper, we study the stability in the sense of Hyers-Ulam for the following fractional differential equations including the new Caputo-Fabrizio fractional derivative: CFD alpha y CFD alpha yx-lambda y (x) -.y (x) = f (x). Finally, two examples are given to illustrate our results.