On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative
Turkish Journal of Mathematics, cilt.44, sa.4, ss.1362-1375, 2020 (SCI-Expanded, Scopus, TRDizin)
- 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.