NONEXISTENCE OF GLOBAL SOLUTIONS TO A FRACTIONAL NONLINEAR ULTRA-PARABOLIC SYSTEM

Authors

  • Lamairia Abd Elhakim University of Tebessa - Department of Mathematics and Informatics
  • Haouam Kamel University of Tebessa - Department of Mathematics and Informatics
  • Rebiai Belgacem University of Tebessa - Department of Mathematics and Informatics

Keywords:

fractional derivatives, nonlinear ultra-parabolic equations, nonexistence, test-function, blowing-up solutions

Abstract

In this work, we study the sufficient conditions for that ensure the nonexistence of global solutions to a Cauchy problem for a fractional nonlinear ultra-parabolic system.  The Blowing-up solutions is also presented.  Our method of proof relies on a suitable choice of a test function and the weak formulation approach of the sought for solutions.

Cover of n°40 Italian Journal of Pure and Applied Mathematics

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Published

2018-07-31

How to Cite

Elhakim, L. A., Kamel, H., & Belgacem, R. (2018). NONEXISTENCE OF GLOBAL SOLUTIONS TO A FRACTIONAL NONLINEAR ULTRA-PARABOLIC SYSTEM. Italian Journal of Pure and Applied Mathematics, 40, 748–755. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6964

Issue

N°40 - July 2018

Section

Articoli - Forum Editrice

License

Copyright (c) 2018 Lamairia Abd Elhakim, Haouam Kamel, Rebiai Belgacem

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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