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    STUDIA MATHEMATICA - Issue no. 4 / 2022  
         
  Article:   BLOW-UP RESULTS FOR DAMPED WAVE EQUATION WITH FRACTIONAL LAPLACIAN AND NON LINEAR MEMORY.

Authors:  TAYEB HADJ KADDOUR, ALI HAKEM.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2022.4.04

Published Online: 2022-12-02
Published Print: 2022-12-30
pp. 717-730

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This paper is devoted to find the critical exponent in Fujita’s sense and to prove the blow-up results of solutions for the damped equation with fractional Laplacian and nonlinear memory.

Mathematics Subject Classification (2010): 26A33, 35K55, 74G25, 74H35.
Keywords: Damped wave equation, blow-up, Fujita’s exponent, fractional derivative.
 
         
     
         
         
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