A LYAPUNOV–TYPE INEQUALITY FOR A CLASS OF HIGHER–ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS

Toprakseven Ş.

Journal of Mathematical Inequalities, cilt.17, sa.2, ss.435-445, 2023 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.7153/jmi-2023-17-29
  • Dergi Adı: Journal of Mathematical Inequalities
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.435-445
  • Anahtar Kelimeler: fractional Caputo-Fabrizio derivative, fractional Sturm-Lioville, Lyapunov inequality
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

This work presents a new Lyapunov-type inequality for a class of higher-order fractional boundary value problem of the fractional Caputo Fabrizio differential equation subject to fractional integral boundary conditions. The derived result is applied to the fractional Sturm-Liouville problem in establishing a lower bound for the eigenvalues. We also provide the necessary condition for nonexistence of the non-trivial solution of the fractional boundary value problem.