On the solutions of a nonlinear system of q-difference equations

Abstract

Abstract In this paper, we examine the existence and uniqueness of solutions for a system of the first-order q-difference equations with multi-point and q-integral boundary conditions using various fixed point (fp) theorems. Also, we give two examples to support our results.

Keywords

• q-Calculus
• Difference equation
• Fixed point theory
• Initial value problems
• Multi-point boundary value problems