Investigation of the solvability of n- term fractional quadratic integral equation in a Banach algebra

Abstract

In this paper, we consider a nonlinear n-term fractional quadratic integral equation. Our investigation is located in the space C(J,R). We prove the existence and uniqueness of the solution for that problem by applying some fixed point theorems. Next, we establish the continuous dependence of the unique solution for that problem on some functions. Finally, we present some particular cases for n-term fractional quadratic integral equation and an example to illustrate our results.

Keywords

• multi-term quadratic integral equation
• existence and uniqueness results
• continuous dependency