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

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Basci Y., Öğrekçi S., Mısır A.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.16, no.5, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 5
  • Publication Date: 2019
  • Doi Number: 10.1007/s00009-019-1407-x
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Fractional differential equation, the new Caputo-Fabrizio fractional derivative, Hyers-Ulam stability, laplace transform, 1ST-ORDER
  • Gazi University Affiliated: Yes

Abstract

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.