On the steady solutions of fractional reaction-diffusion equations | Zendy

Hossein Fazli | Zendy; F. Bahrami | Zendy

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On the steady solutions of fractional reaction-diffusion equations

Author(s) -

Hossein Fazli,

F. Bahrami

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1706655f

Subject(s) - mathematics , fractional calculus , reaction–diffusion system , mathematical analysis , hilbert space , embedding , simple (philosophy) , nonlinear system , diffusion , space (punctuation) , pure mathematics , philosophy , linguistics , physics , epistemology , quantum mechanics , artificial intelligence , computer science , thermodynamics

In this paper, we study the existence of weak solutions for stationary fractional reaction-diffusion equations with Riemann-Liouville boundary conditions. An appropriate fractional Hilbert space is introduced and a compact embedding theorem demonstrated. Existence results are established using generalized Weierstrass theorem and relatively simple techniques from nonlinear functional analysis.

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