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Global solutions for a strongly coupled fractional reaction-diffusion system in Marcinkiewicz spaces

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  • Caicedo, Alejandro
  • Cuevas, Claudio
  • Mateus, Éder
  • Viana, Arlúcio

Abstract

We prove the existence of solutions to the Cauchy problem for a strongly coupled semilinear reaction-diffusion system in Marcinkiewicz spaces L(p1,∞)×L(p2,∞). The exponents p1,p2 are chosen in a way that allows us to prove the existence of self-similar for this system. We present a fractional version of Yamazaki’s inequality, an essential tool that potentially applies to other fractional-in-time PDEs.

Suggested Citation

  • Caicedo, Alejandro & Cuevas, Claudio & Mateus, Éder & Viana, Arlúcio, 2021. "Global solutions for a strongly coupled fractional reaction-diffusion system in Marcinkiewicz spaces," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001090
    DOI: 10.1016/j.chaos.2021.110756
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    References listed on IDEAS

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    1. Wang, Jieyang & Mou, Jun & Xiong, Li & Zhang, Yingqian & Cao, Yinghong, 2021. "Fractional-order design of a novel non-autonomous laser chaotic system with compound nonlinearity and its circuit realization," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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