Inequalities for different type of functions via Caputo fractional derivative

UÇAR D.

AIMS Mathematics, cilt.7, sa.7, ss.12815-12826, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3934/math.2022709
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.12815-12826
  • Anahtar Kelimeler: Caputo fractional derivative, convex functions, different types of functions, Hermite-Hadamard inequality
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we obtain some new inequalities for different type of functions that are connected with the Caputo fractional derivative. We extend and generalize some important inequalities to this interesting calculus including Hermite-Hadamard inequality.