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Title: On existence of nondecreasing solutions of q-quadratic integral equations
Authors: Darwish, Mohamed Abdalla
Al-Yami, Maryam
Sadarangani, Kishin 
UNESCO Clasification: 12 Matemáticas
Keywords: Darbo theorem
Integral equation
Monotonic solutions
Monotonicity measure of noncompactness
Issue Date: 2018
Journal: Journal of Computational Analysis and Applications 
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 measure of noncompactness due to Banaś and Olszowy and Darbo's theorem are the main tools used in the proof our main result
ISSN: 1521-1398
Source: Journal of Computational Analysis and Applications [ISSN 1521-1398], v. 24 (8), p. 1565-1578
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