An existence and uniqueness theorem for a fractional boundary value problem via new fixed point results on quasi metric spaces

Altun I., OLGUN M.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.91, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 91
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.cnsns.2020.105462
  • Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Fixedpoint, Quasimetricspace, Simulationfunction, Fractionalderivative, Positivesolution
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we present two fixed point results on quasi metric spaces by taking into account a contractive condition that obtained via simulation and Q-functions. Then one of these fixed point results has been applied to guarantee the existence and uniqueness of positive solution of a kind of fractional boundary value problem with Riemann-Liouville fractional derivative. (C) 2020 Elsevier B.V. All rights reserved.