Uniform Convergence of Successive Approximations for Hybrid Caputo Fractional Differential Equations

Bachir F. S., Abbas S., Benbachir M., Benchohra M., Tunç C.

Palestine Journal of Mathematics, vol.11, no.3, pp.650-658, 2022 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 3
  • Publication Date: 2022
  • Journal Name: Palestine Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.650-658
  • Keywords: global convergence, Hybrid Caputo fractional differential equation, generalized solution, successive approximations
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

© Palestine Polytechnic University-PPU 2022.This paper deals with the global convergence of successive approximations as well as the uniqueness of solutions for a class of hybrid Caputo fractional differential equations. We prove a theorem on the global convergence of successive approximations to the unique solution of our problem. In the last section, an illustrative example is given.