Inequalities for different type of functions via Caputo fractional derivative

UÇAR D.

AIMS Mathematics, vol.7, no.7, pp.12815-12826, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 7
  • Publication Date: 2022
  • Doi Number: 10.3934/math.2022709
  • Journal Name: AIMS Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.12815-12826
  • Keywords: Caputo fractional derivative, convex functions, different types of functions, Hermite-Hadamard inequality
  • Uşak University Affiliated: Yes

Abstract

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.