L1 Method on Nonuniform Meshes for Linear Time-Fractional Diffusion Equations with Constant Time Delay

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

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

Martin Stynes, Eugene O’Riordan, J.L. Gracia · SIAM Journal on Numerical Analysis · 2017 · 939 citations · Full text

Computing, Computational Engineering, Computational Mechanics +16

Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

Hong-lin Liao, Dongfang Li, Jiwei Zhang · SIAM Journal on Numerical Analysis · 2018 · 463 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +16

A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

Hong-lin Liao, William McLean, Jiwei Zhang · SIAM Journal on Numerical Analysis · 2019 · 342 citations · Full text

Natural Sciences, Mathematics, Computational Physics +13

Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

Yuri Luchko · Fractional Calculus and Applied Analysis · 2011 · 196 citations

Natural Sciences, Mathematics, Differential Equations +13