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

  • Nəşrin Növü: Article / Article
  • Cild: 43 Say: 4
  • Nəşr tarixi: 2023
  • jurnalın adı: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
  • Jurnalın baxıldığı indekslər: Scopus
  • Səhifə sayı: pp.65-71
  • Açar sözlər: Caputo fractional derivatives, Lebesgue spaces, Nonlinear fractional differential equation, Riemann-Liouville fractional integral
  • Adres: Bəli

Qısa məlumat

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.