Stability, existence and uniqueness of boundary value problems for a coupled system of fractional differential equations

Mahmudov N., Al-Khateeb A.

Mathematics, vol.7, no.4, 2019 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 7 Say: 4
  • Nəşr tarixi: 2019
  • Doi nömrəsi: 10.3390/math7040354
  • jurnalın adı: Mathematics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Açar sözlər: Fixed point theorem, Fractional derivative, Fractional differential equation
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

The current article studies a coupled system of fractional differential equations with boundary conditions and proves the existence and uniqueness of solutions by applying Leray-Schauder's alternative and contraction mapping principle. Furthermore, the Hyers-Ulam stability of solutions is discussed and sufficient conditions for the stability are developed. Obtained results are supported by examples and illustrated in the last section.