Solving a final value fractional diffusion problem by boundary condition regularization

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

Kenichi Sakamoto, Masahiro Yamamoto · Journal of Mathematical Analysis and Applications · 2011 · 1.2K citations

Natural Sciences, Mathematics, Physics +16

On Mittag-Leffler-type functions in fractional evolution processes

Francesco Mainardi, Rudolf Gorenflo · Journal of Computational and Applied Mathematics · 2000 · 541 citations · Full text

Engineering, Physics, Dynamical Systems +4

Implicit difference approximation for the time fractional diffusion equation

Peixian Zhuang, F. Liu · Journal of Applied Mathematics and Computing · 2006 · 279 citations

Natural Sciences, Physics, Differential Equations +13

A backward problem for the time-fractional diffusion equation

J.J. Liu, Masahiro Yamamoto · Applicable Analysis · 2010 · 272 citations

Natural Sciences, Mathematics, Physics +15

The final value problem for evolution equations

R. E. Showalter · Journal of Mathematical Analysis and Applications · 1974 · 172 citations

Natural Sciences, Mathematics, Differential Equations +11