On some nonlinear fractional integro-differential equation and its connection with the Riemann-Liouville fractional integral in Lebesgue spaces

Bandaliyev R. A., Alekperova I. A.

Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.43, no.4, pp.65-71, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 4
  • Publication Date: 2023
  • Journal Name: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.65-71
  • Keywords: Caputo fractional derivatives, Lebesgue spaces, Nonlinear fractional differential equation, Riemann-Liouville fractional integral
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this work we study the connection of the Riemann-Liouville fractional integral with the nonlinear fractional integro-differential equation. In particular, we proved the boundedness of Riemann-Liouville fractional integral on Lebesgue spaces and give the interval for the best constant.