Abstract
We relate the convergence of time-changed processes driven by fractional equations to the convergence of corresponding Dirichlet forms. The fractional equations we dealt with are obtained by considering a general fractional operator in time.
Acknowledgements
The authors are members of GNAMPA (INdAM) and are partially supported by Grants Ateneo “Sapienza” 2017.
References
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© 2019 Diogenes Co., Sofia
Articles in the same Issue
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–Volume 22–4–2019)
- Research Paper
- Fractional equations via convergence of forms
- About the Noether’s theorem for fractional Lagrangian systems and a generalization of the classical Jost method of proof
- Survey Paper
- The vertical slice transform on the unit sphere
- Research Paper
- Well-posedness of time-fractional advection-diffusion-reaction equations
- Existence of solutions for nonlinear fractional order p-Laplacian differential equations via critical point theory
- Exact asymptotic formulas for the heat kernels of space and time-fractional equations
- Estimates of damped fractional wave equations
- A modified time-fractional diffusion equation and its finite difference method: Regularity and error analysis
- On the fractional diffusion-advection-reaction equation in ℝ
- Controllability of nonlinear stochastic fractional higher order dynamical systems
- Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order 1 < α < 2
- Analysis of fractional order error models in adaptive systems: Mixed order cases
- Fractional calculus of variations: a novel way to look at it
- Pricing of perpetual American put option with sub-mixed fractional Brownian motion
Articles in the same Issue
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–Volume 22–4–2019)
- Research Paper
- Fractional equations via convergence of forms
- About the Noether’s theorem for fractional Lagrangian systems and a generalization of the classical Jost method of proof
- Survey Paper
- The vertical slice transform on the unit sphere
- Research Paper
- Well-posedness of time-fractional advection-diffusion-reaction equations
- Existence of solutions for nonlinear fractional order p-Laplacian differential equations via critical point theory
- Exact asymptotic formulas for the heat kernels of space and time-fractional equations
- Estimates of damped fractional wave equations
- A modified time-fractional diffusion equation and its finite difference method: Regularity and error analysis
- On the fractional diffusion-advection-reaction equation in ℝ
- Controllability of nonlinear stochastic fractional higher order dynamical systems
- Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order 1 < α < 2
- Analysis of fractional order error models in adaptive systems: Mixed order cases
- Fractional calculus of variations: a novel way to look at it
- Pricing of perpetual American put option with sub-mixed fractional Brownian motion