Hartman–wintner and lyapunov-type inequalities for high order fractional boundary value problems

Toprakseven Ş.

Filomat, cilt.34, sa.7, ss.2273-2281, 2020 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 7
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2007273t
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.2273-2281
  • Anahtar Kelimeler: Fractional Liouville-Caputo derivative, Hartman-Wintner-type inequality, High order frac-tional, Lyapunov-type inequality
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, we obtain Hartman-Wintner and Lyapunov-type inequalities for the three-point fractional boundary value problem of the fractional Liouville-Caputo differential equation of order α ∈ (2, 3]. The results presented in this work are sharper than the existing results in the literature. As an application of the results, the fractional Sturm–Liouville eigenvalue problems have also been presented. Moreover, we examine the nonexistence of the nontrivial solution of the fractional boundary value problem.