Existence results for a class of boundary value problems for fractional differential equations

DOĞAN A.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.3, ss.1149-1165, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2012-33
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1149-1165
  • Anahtar Kelimeler: Fractional differential equations, boundary value problems, Caputo fractional derivative, uniqueness, ex-istence, fixed point, POSITIVE SOLUTIONS
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

By application of some fixed point theorems, that is, the Banach fixed point theorem, Schaefer's and the LeraySchauder fixed point theorem, we establish new existence results of solutions to boundary value problems of fractional differential equations. This paper is motivated by Agarwal et al. (Georgian Math. J. 16 (2009) No.3, 401-411).