On Periodic Fractional (<i>p</i>, <i>q</i>)-Integral Boundary Value Problems for Sequential Fractional (<i>p</i>, <i>q</i>)-Integrodifference Equations

Abstract

We study the existence results of a fractional (p, q)-integrodifference equation with periodic fractional (p, q)-integral boundary condition by using Banach and Schauder’s fixed point theorems. Some properties of (p, q)-integral are also presented in this paper as a tool for our calculations.

Keywords

• fractional (<i>p</i>, <i>q</i>)-integral
• fractional (<i>p</i>, <i>q</i>)-difference
• periodic boundary value problems
• existence