Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann–Liouville fractional integrals, and Atangana–Baleanu integral operators

Hasanen A. Hammad, Hassen Aydi*, Nabil Mlaiki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

In this manuscript, some fixed point results for generalized contractive type mappings under mild conditions in the setting of double controlled metric spaces (in short, ηℷν-metric spaces) are obtained. Moreover, some related consequences dealing with a common fixed point concept and nontrivial examples to support our results are presented. Ultimately, we use the theoretical results to discuss the existence and uniqueness of solutions of 2D Volterra integral equations, Riemann–Liouville integrals and Atangana–Baleanu integral operators are given.

Original languageEnglish
Article number97
JournalAdvances in Difference Equations
Volume2021
Issue number1
DOIs
Publication statusPublished - Dec 2021
Externally publishedYes

Keywords

  • 2D Volterra integral equations
  • Atangana–Baleanu integral operators
  • Double controlled metric spaces
  • Riemann–Liouville fractional integrals

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