TITLE:
On Existence of Solutions of q-Perturbed Quadratic Integral Equations
AUTHORS:
Maryam Al-Yami
KEYWORDS:
q-Fractional, Integral Equation, Monotonic Solutions, Darbo Theorem, Monotonicity Measure of Noncompactness
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.6 No.2,
June
29,
2016
ABSTRACT: 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.