Author(s)

Maryam Al-Yami

Department of Mathematics, Al Faisaliah Campus, Sciences Faculty, King Abdulaziz University, Jeddah, Saudi Arabia.

We investigate a q-fractional integral equation with supremum and prove an existence theorem for it. We will prove that our q-integral equation has a solution in C [0, 1] which is monotonic on [0, 1]. The monotonicity measures of noncompactness due to Banaś and Olszowy and Darbo’s theorem are the main tools used in the proof of our main result.

q-Fractional, Integral Equation, Monotonic Solutions, Darbo Theorem, Monotonicity Measure of Noncompactness

Al-Yami, M. (2016) On Existence of Solutions of q-Perturbed Quadratic Integral Equations. American Journal of Computational Mathematics, 6, 166-176. doi: 10.4236/ajcm.2016.62018.