Abstract
In this paper, it is proved that a time fractional reaction diffusion system with reaction terms of the Brusselator type admits a global solution by using the feedback method of F. Rothe [20]. Furthermore, some results on the large time behavior of the solutions are obtained. We give a positive answer to Problem 6 of the valuable paper of Gal and Warma [6].
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© 2020 Diogenes Co., Sofia
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–Volume 23–2–2020)
- Survey Paper
- Porous functions – II
- Research Paper
- On a non–local problem for a multi–term fractional diffusion-wave equation
- A class of linear non-homogenous higher order matrix fractional differential equations: Analytical solutions and new technique
- Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions
- Global existence and large time behavior of solutions of a time fractional reaction diffusion system
- Evaluation of fractional order of the discrete integrator. Part II
- Subordination principle for fractional diffusion-wave equations of Sobolev type
- Time-changed fractional Ornstein-Uhlenbeck process
- Fractional problems with critical nonlinearities by a sublinear perturbation
- New finite-time stability analysis of singular fractional differential equations with time-varying delay
- Reflection properties of zeta related functions in terms of fractional derivatives
- α-fractionally convex functions
- On the kinetics of Hadamard-type fractional differential systems
- Asymptotic stability of fractional difference equations with bounded time delays
- Short Paper
- The continuation of solutions to systems of Caputo fractional order differential equations
- Erratum
- Erratum: On modifications of the exponential integral with the Mittag-Leffler function
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–Volume 23–2–2020)
- Survey Paper
- Porous functions – II
- Research Paper
- On a non–local problem for a multi–term fractional diffusion-wave equation
- A class of linear non-homogenous higher order matrix fractional differential equations: Analytical solutions and new technique
- Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions
- Global existence and large time behavior of solutions of a time fractional reaction diffusion system
- Evaluation of fractional order of the discrete integrator. Part II
- Subordination principle for fractional diffusion-wave equations of Sobolev type
- Time-changed fractional Ornstein-Uhlenbeck process
- Fractional problems with critical nonlinearities by a sublinear perturbation
- New finite-time stability analysis of singular fractional differential equations with time-varying delay
- Reflection properties of zeta related functions in terms of fractional derivatives
- α-fractionally convex functions
- On the kinetics of Hadamard-type fractional differential systems
- Asymptotic stability of fractional difference equations with bounded time delays
- Short Paper
- The continuation of solutions to systems of Caputo fractional order differential equations
- Erratum
- Erratum: On modifications of the exponential integral with the Mittag-Leffler function