Concepedia
Communications in Nonlinear Science and Numerical Simulation · 2021 · 68 citations · 15 references
Numerical AnalysisFractional-order SystemNumerical TreatmentFractional Differential SystemsCaputo–hadamard Fractional DerivativesFractional DynamicLong-term Integration
15
Finite difference/spectral approximations for the time-fractional diffusion equation
Yumin Lin, Chuanju Xu · Journal of Computational Physics · 2007 · 1.7K citations
Finite Difference/spectral Approximations, Anomalous Diffusion, Fractional Dynamic +1
A fully discrete difference scheme for a diffusion-wave system
Zhi‐zhong Sun, Xiaonan Wu · Applied Numerical Mathematics · 2005 · 1.1K citations
Numerical Analysis, Diffusion Process, Diffusion-based Modeling +2
A new difference scheme for the time fractional diffusion equation
Anatoly A. Alikhanov · Journal of Computational Physics · 2014 · 813 citations · Full text
Numerical Analysis, Fractional-order System, New Difference Scheme +4
A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
Guang‐hua Gao, Zhi‐zhong Sun, Hongwei Zhang · Journal of Computational Physics · 2013 · 583 citations
Numerical Analysis, Pade Approximant, Engineering +6
Caputo-type modification of the Hadamard fractional derivatives
Fahd Jarad, Thabet Abdeljawad, Dumitru Bǎleanu · Advances in Difference Equations · 2012 · 407 citations · Full text
Fractional-order System, Abstract Generalization, Caputo-type Modification +5