EXISTENCE AND UNIQUENESS FOR FRACTIONAL ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH HILFER DERIVATIVE

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KARAKOÇ F.

DIFFERENTIAL EQUATIONS & APPLICATIONS, cilt.12, sa.4, ss.323-336, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.7153/dea-2020-12-21
  • Dergi Adı: DIFFERENTIAL EQUATIONS & APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.323-336
  • Anahtar Kelimeler: Hilfer fractional derivative, delay differential equation, neutral differential equation, Banach fixed point theorem, INITIAL-VALUE PROBLEMS, CAUCHY-TYPE PROBLEMS, CALCULUS, SYSTEMS
  • Ankara Üniversitesi Adresli: Evet

Özet

We investigate fractional order delay and neutral differential equations. By using Banach fixed point theorem we establish existence and uniqueness of the solutions for fractional order functional differential equations involving Hiller fractional derivative in the weighted spaces.