Geodesic
An investigation of global existence of the solution of fractional reaction-diffusion system
Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1.

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This paper investigates the existence of the solution for one of the most important fractional partial differential problems called fractional reaction-diffusion system. In particular, with the use of combining the compact semigroup methods and some $L^{1}$-estimates, we prove the global existence of the solution for the fractional reaction-diffusion system. Our investigation can be applied to a wide class of fractional partial differential equations even if they contain nonlinear terms in their constructions.
Publié le :
DOI : 10.30755/NSJOM.15045
Classification : 35K57, 35K40, 35K55, 35K45, 26A33
Keywords: semigroups, fractional reaction-diffusion systems, local solution, global solution 
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     title = {An investigation of global existence of the solution of fractional reaction-diffusion system},
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Nabila Barrouk; Iqbal M. Batiha; Adel Ouannas. An investigation of global existence of the solution of fractional reaction-diffusion system. Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1. doi : 10.30755/NSJOM.15045. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.15045/

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