The fractional Laplacian as a limiting case of a self-similar spring model and applications to n-dimensional anomalous diffusion

Artikel in diesem Heft

1. FCAA related events and 100th anniversary of the birth of Jan Mikusiński (FCAA-Volume 16-4-2013)
2. A characteristic of fractional resolvents
3. Controllability of fractional order system with nonlinear term having integral contractor
4. Two equivalent Stefan’s problems for the time fractional diffusion equation
5. Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra
6. The fractional Laplacian as a limiting case of a self-similar spring model and applications to n-dimensional anomalous diffusion
7. Fractional-hyperbolic systems
8. Nonpolynomial collocation approximation of solutions to fractional differential equations
9. A new difference scheme for time fractional heat equations based on the Crank-Nicholson method
10. New relationships connecting a class of fractal objects and fractional integrals in space
11. Unique positive solution for a fractional boundary value problem
12. Fractional derivatives of multidimensional Colombeau generalized stochastic processes
13. Application of measure of noncompactness to a Cauchy problem for fractional differential equations in Banach spaces
14. A Lyapunov-type inequality for a fractional boundary value problem
15. Positive solutions for a system of nonlocal fractional boundary value problems