Cauchy problem for some fractional nonlinear ultra-parabolic equations

Fatma Al-Musalhi, Sebti Kerbal

Research output: Contribution to journalArticle

Abstract

Blowing-up solutions to nonlocal nonlinear ultra-parabolic equations is presented. The obtained results will contribute in the development of ultra-parabolic equations and enrich the existing non-extensive literature on fractional nonlinear ultra-parabolic problems. Our method of proof relies on a suitable choice of a test function and the weak formulation approach of the sought for solutions.

Original languageEnglish
Article number172
JournalElectronic Journal of Differential Equations
Volume2016
Publication statusPublished - Jul 5 2016

Fingerprint

Parabolic Equation
Cauchy Problem
Fractional
Blowing-up Solution
Weak Formulation
Parabolic Problems
Test function

Keywords

  • Nonexistence
  • Nonlinear ultra-parabolic equations
  • Nonlocal space and time operators

ASJC Scopus subject areas

  • Analysis

Cite this

Cauchy problem for some fractional nonlinear ultra-parabolic equations. / Al-Musalhi, Fatma; Kerbal, Sebti.

In: Electronic Journal of Differential Equations, Vol. 2016, 172, 05.07.2016.

Research output: Contribution to journalArticle

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