Existence of solutions for fractional boundary value problems with Riesz space derivative and nonlocal conditions

Toprakseven Ş.

Studia Universitatis Babes-Bolyai Mathematica, cilt.68, sa.4, ss.701-715, 2023 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.24193/subbmath.2023.4.01
  • Dergi Adı: Studia Universitatis Babes-Bolyai Mathematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.701-715
  • Anahtar Kelimeler: existence and uniqueness, fixed point, Fractional boundary value problem, nonlocal conditions, Riesz-Caputo fractional derivative
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

By using the fixed point theorems, we give sufficient conditions for the existence and uniqueness of solutions for the nonlocal fractional boundary value problem of nonlinear Riesz-Caputo differential equation. The boundedness assumption on the nonlinear term is replaced by growth conditions or by a continuous function. Finally, some examples are presented to illustrate the applications of the obtained results.