@article{2bf9ae47e905413ea6bb2c398cc24776,
title = "On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities",
abstract = "In this article, we investigate the local existence of a unique mild solution to a reaction diffusion system with time-nonlocal nonlinearities of exponential growth. Moreover, blowing-up solutions are shown to exist, and their time blow-up profile is presented.",
keywords = "Blow-up, Blow-up profile, Exponential nonlinearities, Nonlocal in time and space reaction diffusion equations, Semi-linear system",
author = "B. Ahmad and A. Alsaedi and D. Hnaien and M. Kirane",
note = "Funding Information: 47H99. Keywords and phrases. Semi-linear system, nonlocal in time and space reaction diffusion equations, exponential nonlinearities, blow-up, blow-up profile. This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant No. RG-10-130-38. Received by the editors on September 27, 2016, and in revised form on March 26, 2017. Publisher Copyright: {\textcopyright} 2018 Rocky Mountain Mathematics Consortium.",
year = "2018",
doi = "10.1216/JIE-2018-30-1-17",
language = "British English",
volume = "30",
pages = "17--40",
journal = "Journal of Integral Equations and Applications",
issn = "0897-3962",
publisher = "Rocky Mountain Mathematics Consortium",
number = "1",
}