Blowing-up Solutions of Distributed Fractional Differential Systems

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.

Automated summary

The study demonstrates that solutions to nonlinear equations with distributed fractional derivatives will blow up in a finite time, extending the analysis to a system of nonlinear equations with different orders and weight functions, relying on the non-linear capacity method.