✦ LIBER ✦
A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications
✍ Scribed by Valentin Keyantuo; Carlos Lizama
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 160 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
We study the fractional differential equation ( * ) D α u(t)
where X is a Banach space. Using functional calculus and operator valued Fourier multiplier theorems, we characterize, in U M D spaces, the well posedness of ( * ) in terms of R-boundedness of the sets {(ik) α ((ik
Applications to the fractional problems with periodic boundary condition, which includes the time diffusion and fractional wave equations, as well as an abstract version of the Basset-Boussinesq-Oseen equation are treated.