AIMS Mathematics (Jan 2022)

On sequential fractional Caputo (p,q)-integrodifference equations via three-point fractional Riemann-Liouville (p,q)-difference boundary condition

  • Jarunee Soontharanon,
  • Thanin Sitthiwirattham

DOI
https://doi.org/10.3934/math.2022044
Journal volume & issue
Vol. 7, no. 1
pp. 704 – 722

Abstract

Read online

In this paper, we aim to study the problem of a sequential fractional Caputo (p,q)-integrodifference equation with three-point fractional Riemann-Liouville (p,q)-difference boundary condition. We use some properties of (p,q)-integral in this study and employ Banach fixed point theorems and Schauder's fixed point theorems to prove existence results of this problem.

Keywords