Lyapunov-type inequality for an anti-periodic fractional boundary value problem of the riesz-caputo derivative

Toprakseven Ş., Bengi R., ZEREN Y.

Sigma Journal of Engineering and Natural Sciences, cilt.41, sa.4, ss.807-811, 2023 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.14744/sigma.2023.00088
  • Dergi Adı: Sigma Journal of Engineering and Natural Sciences
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.807-811
  • Anahtar Kelimeler: Boundary Value Problem, Eigenvalues, Fractional Differential Equation, Lyapunov’s Inequality, Riesz-Caputo Derivative
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

This paper concerns with a Lyapunov-type inequality for the Riesz-Caputo fractional boundary value problem with anti-periodic boundary conditions. As an application for the obtained inequality, a lower bound for the eigenvalues of anti-periodic fractional boundary problems of the Riesz-Caputo derivative has been obtained.