Some analysis on a fractional differential equation with a right-hand side which has a discontinuity at zero

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San M., SERT U.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.49, sa.5, ss.1718-1725, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.15672/hujms.512563
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1718-1725
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this article, we consider an initial value problem for a nonlinear differential equation with Riemann-Liouville fractional derivative. By proposing a new approach, we prove local existence and uniqueness of the solution when the nonlinear function on the right hand side of the equation under consideration is continuous on (0, T] x R.