Ulam type stability for conformable fractional differential equations

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Öğrekçi S., Başcı Y., Mısır A.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, cilt.70, sa.2, ss.807-817, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s12215-020-00532-3
  • Dergi Adı: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.807-817
  • Anahtar Kelimeler: Conformable fractional derivative, Hyers-Ulam stability, Fixed point methods, RASSIAS STABILITY
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we present some new stability criteria in the sense of Ulam for the solutions of fractional differential equations involving the conformable fractional derivative. Our results are based on a fixed point alternative which is developed for generalized metric spaces. This study improves and extends the literature in this topic since there is no previous progress on the problem we consider. We also provide examples to illustrate our results in a separate section.