On Global Existence of the Fractional Reaction-Diffusion System’s Solution

Iqbal M. Batiha; Nabila Barrouk; Adel Ouannas; Waseem G. Alshanti

doi:10.28924/2291-8639-21-2023-11

On Global Existence of the Fractional Reaction-Diffusion System’s Solution

Iqbal M. Batiha
, Nabila Barrouk
, Adel Ouannas
, Waseem G. Alshanti

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
University of Souk Ahras Mohamed Chérif Messaadia
University of Oum El Bouaghi

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The purpose of this paper is to prove the global existence of solution for one of most significant fractional partial differential system called the fractional reaction-diffusion system. This will be carried out by combining the compact semigroup methods with some L¹-estimate methods. Our investigation can be applied to a wide class of fractional partial differential equations even if they contain nonlinear terms in their constructions.

Original language	English
Article number	11
Journal	International Journal of Analysis and Applications
Volume	21
DOIs	https://doi.org/10.28924/2291-8639-21-2023-11
State	Published - 2023

Keywords

fractional reaction-diffusion systems
global solution
local mild solution
semigroup methods

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10.28924/2291-8639-21-2023-11

Cite this

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abstract = "The purpose of this paper is to prove the global existence of solution for one of most significant fractional partial differential system called the fractional reaction-diffusion system. This will be carried out by combining the compact semigroup methods with some L1-estimate methods. Our investigation can be applied to a wide class of fractional partial differential equations even if they contain nonlinear terms in their constructions.",

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AU - Ouannas, Adel

AU - Alshanti, Waseem G.

PY - 2023

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N2 - The purpose of this paper is to prove the global existence of solution for one of most significant fractional partial differential system called the fractional reaction-diffusion system. This will be carried out by combining the compact semigroup methods with some L1-estimate methods. Our investigation can be applied to a wide class of fractional partial differential equations even if they contain nonlinear terms in their constructions.

AB - The purpose of this paper is to prove the global existence of solution for one of most significant fractional partial differential system called the fractional reaction-diffusion system. This will be carried out by combining the compact semigroup methods with some L1-estimate methods. Our investigation can be applied to a wide class of fractional partial differential equations even if they contain nonlinear terms in their constructions.

KW - fractional reaction-diffusion systems

KW - global solution

KW - local mild solution

KW - semigroup methods

UR - https://www.scopus.com/pages/publications/85148962805

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VL - 21

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 11

ER -

On Global Existence of the Fractional Reaction-Diffusion System’s Solution

Abstract

Keywords

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