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Blowing-up Solutions of Distributed Fractional Differential Systems
Journal article   Peer reviewed

Blowing-up Solutions of Distributed Fractional Differential Systems

Bashir Ahmad, Ahmed Alsaedi and Mokhtar Kirane
Chaos, solitons and fractals, Vol.145, p.110747
01/04/2021
DOI: https://doi.org/10.1016/j.chaos.2021.110747

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Physics, Multidisciplinary Science & Technology
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. (c) 2021 Elsevier Ltd. All rights reserved.

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