Convergence and stability of compact finite difference method for nonlinear time fractional reaction–diffusion equations with delay

A generalized Gronwall inequality and its application to a fractional differential equation

Haiping Ye, Jianming Gao, Yongsheng Ding · Journal of Mathematical Analysis and Applications · 2006 · 958 citations

Generalized Gronwall Inequality, Fractional-order System, Fractional Differential Equation +3

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 · 884 citations

Numerical Analysis, Finite Element Method, Numerical Method For Partial Differential Equation +15

An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

S. B. Yuste, L. Acedo · SIAM Journal on Numerical Analysis · 2005 · 567 citations · Full text

The accuracy and stability of an implicit solution method for the fractional diffusion equation

T. A. M. Langlands, B. I. Henry · Journal of Computational Physics · 2005 · 549 citations

Numerical Analysis, Fractional-order System, Implicit Solution Method +6

Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

Shidong Jiang, Jiwei Zhang, Qian Zhang et al. · Communications in Computational Physics · 2017 · 501 citations

Numerical Analysis, New Scheme, Time Fractional Pdes +13