On the Monotonic Solutions of Quadratic Integral Equations in Orlicz Space
Amira M. Abdalla, Hussein A. H. Salem
Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 14 Feb 2019
10.9734/JAMCS/2019/46641Abstract
In this paper, Darbo's and Rothe's xed point theorems is used to prove the existence of monotonic solutions for the nonlinear quadratic fractional order integral equation of the following type x(t) = h(t) + Gx(t)Jα a(t)f(H1x(t),H2x(t)), t ∈ [1, e], α > 0, where a belongs to appropriate Orlicz space. Here Jα stands the Hadamard-type fractional integral operator.
Cited by 6
Pallav Bora, Bipan Hazarika · Boletim da Sociedade Paranaense de Matemática · 2025
Saud Fahad Aldosary, Mohamed M. A. Metwali · AIMS Mathematics · 2024
Mohamed M. A. Metwali · Rocky Mountain Journal of Mathematics · 2023
Showing 3 of 6 known citations — external sources report more than can currently be individually listed.
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