On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative

Toprakseven Ş.

Turkish Journal of Mathematics, cilt.44, sa.4, ss.1362-1375, 2020 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1905-118
  • 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.1362-1375
  • Anahtar Kelimeler: Fractional caputo-fabrizio derivative, High order fractional, Lyapunov-type inequality
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this study, Lyapunov-type inequalities for fractional boundary value problems involving the fractional Caputo Fabrizio differential equation with mixed boundary conditions when the fractional order of β ∈ (1, 2] and Dirichlet-type boundary condition when the fractional order of σ ∈ (2, 3] have been derived. Some consequences of the results related to the fractional Sturm-Liouville eigenvalue problems have also been given. Additionally, we examine the nonexistence of the solution of the fractional boundary value problem.