Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations
In 1986, Dixon and McKee (Z Angew Math Mech 66:535–544, 1986) developed a discrete fractional Gronwall inequality, which can be seen as a generalization of the classical discrete Gronwall inequality. However, this generalized discrete Gronwall inequality and its variant (Al-Maskari and Karaa in SIAM...
Main Authors: | Jiang, X. (Author), Karniadakis, G.E (Author), Zeng, F. (Author), Zhang, H. (Author) |
---|---|
Format: | Article |
Language: | English |
Published: |
Springer Nature
2022
|
Subjects: | |
Online Access: | View Fulltext in Publisher |
Similar Items
-
A Discrete Grönwall Inequality and Energy Estimates in the Analysis of a Discrete Model for a Nonlinear Time-Fractional Heat Equation
by: Ahmed S. Hendy, et al.
Published: (2020-09-01) -
Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications
by: Zareen A. Khan, et al.
Published: (2021-02-01) -
Conciliating the nonadditive entropy approach and the fractional model formulation when describing subdiffusion
by: Kosztołowicz Tadeusz, et al.
Published: (2012-06-01) -
Robust finite-time stability of neutral fractional time-delay systems
by: ZHANG Li, et al.
Published: (2020-06-01) -
Finite-time stability of q-fractional damped difference systems with time delay
by: Jingfeng Wang, et al.
Published: (2021-08-01)