@article{2d8da42793154cb9a62ff674683fb674,
title = "Blowing-up Solutions of Distributed Fractional Differential Systems",
abstract = "We first show that any solution to a nonlinear equation involving a distributed fractional derivative blows-up in a finite time. Then we extend our analysis to a system of nonlinear equations involving distributed fractional derivatives of different orders with different weight functions. Our results rely on the non-linear capacity method.",
keywords = "blow-up, Distributed fractional derivative, H{\"o}lder's inequality, system of equations, ε-Young's inequality",
author = "Bashir AHMAD and Ahmed ALSAEDI and Mokhtar KIRANE",
note = "Funding Information: This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant no. (RG-42-130-41). The authors, therefore, acknowledge with thanks DSR technical and financial support. We also thank the reviewer for his constructive remarks on our work. Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",
year = "2021",
month = apr,
doi = "10.1016/j.chaos.2021.110747",
language = "British English",
volume = "145",
journal = "Chaos, Solitons and Fractals",
issn = "0960-0779",
publisher = "Elsevier Ltd",
}