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On a semilinear fractional reaction-diffusion equation with nonlocal conditions
- Source :
- Alexandria Engineering Journal, Vol 60, Iss 6, Pp 5511-5520 (2021)
- Publication Year :
- 2021
- Publisher :
- Elsevier, 2021.
-
Abstract
- In the present paper, a nonlocal problem for semilinear fractional diffusion equations with Riemann-Liouville derivative is investigated. By applying Banach fixed point theorem combined with some techniques on Mittag-Leffler functions, we establish some results on the existence, uniqueness, and regularity of the mild solutions of our problem in some suitable spaces. In addition, we show that the convergence of mild solution as the parameter tends to zero and present some numerical examples to illustrate the proposed method.
- Subjects :
- Convergence estimate
Fractional reaction-diffusion equation
Banach fixed-point theorem
020209 energy
General Engineering
Zero (complex analysis)
Existence
02 engineering and technology
Derivative
Engineering (General). Civil engineering (General)
01 natural sciences
010305 fluids & plasmas
Regularity
0103 physical sciences
Reaction–diffusion system
Convergence (routing)
0202 electrical engineering, electronic engineering, information engineering
Fractional diffusion
Applied mathematics
Uniqueness
TA1-2040
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 11100168
- Volume :
- 60
- Issue :
- 6
- Database :
- OpenAIRE
- Journal :
- Alexandria Engineering Journal
- Accession number :
- edsair.doi.dedup.....696c84e93ee4beec2aa4edba798064a8