Blowing-up Solutions of Distributed Fractional Differential Systems

Bashir AHMAD, Ahmed ALSAEDI, Mokhtar KIRANE

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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.

Original languageBritish English
Article number110747
JournalChaos, Solitons and Fractals
StatePublished - Apr 2021


  • blow-up
  • Distributed fractional derivative
  • Hölder's inequality
  • system of equations
  • ε-Young's inequality


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