Blowing-up Solutions of Distributed Fractional Differential Systems

Bashir Ahmad, Ahmed Alsaedi and Mokhtar Kirane

Chaos, Solitons & Fractals, 2021, vol. 145, issue C

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: Distributed fractional derivative; blow-up; system of equations; ε-Young’s inequality; Hölder’s inequality (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001004

DOI: 10.1016/j.chaos.2021.110747

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