Work

Classical solutions of time-fractional quasilinear reaction-diffusion systems

Year: 2025

Type: article

Abstract: UDC 517.9 We analyze a quasilinear reaction-diffusion system with the time-fractional Caputo derivative. We prove the existence and uniqueness result to initial-boundary problems with Dirichlet and Robin (Neumann) boundary conditions under suitable assumptions on the given data. The existence of the solution to our problem is proved by the Leray–Schauder fixed-point theorem. Positivity property allows us to apply the method of upper-lower solutions. We provide an example of upper and lower solutions to some specific time-fractional reaction-diffusion system.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v77i2.1147

Author: M. Krasnoschok

Institutions: National Academy of Sciences of Ukraine, Institute of Applied Mathematics and Mechanics

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408972558

FWCI:

Cites: 33

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Related to: 10