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

Basci, Yasennn; Öğrekçi, Süleyman; Mısır, ADİL

doi:10.1007/s00009-019-1407-x

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

Basci Y., Öğrekçi S., Mısır A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.16, sa.5, 2019 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 16 Sayı: 5
Basım Tarihi: 2019
Doi Numarası: 10.1007/s00009-019-1407-x
Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Anahtar Kelimeler: Fractional differential equation, the new Caputo-Fabrizio fractional derivative, Hyers-Ulam stability, laplace transform, 1ST-ORDER
Gazi Üniversitesi Adresli: Evet

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.