@article{Metwali2023, 
author = {Mohamed M. A. Metwali and Shami A. M. Alsallami},
title = {Discontinuous solutions of delay fractional integral equation via measures of noncompactness},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {21055-21068},
keywords = {weighted Lebesgue space, delay fractional integral equations, measure of noncompactness (M.N.C.), Carathéodory conditions},
url = {https://www.sciopen.com/article/10.3934/math.20231072},
doi = {10.3934/math.20231072},
abstract = {This article considers the existence and the uniqueness of monotonic solutions of a delay functional integral equation of fractional order in the weighted Lebesgue space        L    1    N    (                    R              +    ). Our analysis uses a suitable measure of noncompactness, a modified version of Darbo's fixed point theorem, and fractional calculus in the mentioned space. An illustrated example to show the applicability and significance of our outcomes is included.}
}