On a generalization of the Opial inequality Articles uri icon

publication date

  • May 2024

start page

  • 1

end page

  • 11

issue

  • 1, 20230149

volume

  • 57

International Standard Serial Number (ISSN)

  • 0420-1213

Electronic International Standard Serial Number (EISSN)

  • 2391-4661

abstract

  • Inequalities are essential in pure and applied mathematics. In particular, Opial¿s inequality and its generalizations have been playing an important role in the study of the existence and uniqueness of initial and boundary value problems. In this work, some new Opial-type inequalities are given and applied to generalized Riemann-Liouville-type integral operators.

subjects

  • Mathematics

keywords

  • opial-type inequalities; fractional derivatives and integrals; fractional integral inequalities