Fractional Calculus: An Introduction for Physicists

By R. Herrmann. 2011

391 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/df921daac8725af5910b00449a85c30549376020

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In Modeling and Simulation

1. G. Em Karniadakis
2. Zhiping Mao
3. Guofei Pang
4. Mark Ainsworth
5. Fangying Song
6. Wei Cai
7. Mamikon A. Gulian
8. Udita N. Katugampola

In Numerical Analysis

1. G. Em Karniadakis
2. Mark Ainsworth
3. Zhiping Mao
4. Udita N. Katugampola
5. Fangying Song
6. Mark M. Meerschaert
7. Guofei Pang
8. Wei Cai

Citations in the corpus

• A NEW APPROACH TO GENERALIZED FRACTIONAL DERIVATIVES (2011, background): “problem [1]. It also has applications in biophysics, quantum mechanics, wave theory, polymers, continuum mechanics, Lie theory, field theory, spectroscopy and in group theory, among other applications [22,24,25,41]. In [66], Samko et al. provide an encyclopedic treatment of the subject. Various type ”
• What is the fractional Laplacian? A comparative review with new results (2018, background): “, [60], and for discussions of extension characterizations as well as well-posedness and regularity, see [61, 62].”
• Application of fractional differential equation in economic growth model: A systematic review approach (2021, neutral): “Based on [1], derivatives or integrals with integer-order have local properties (the next state is not influenced by the current and previous state), while fractional derivatives have non-local properties (the next state depends on the current state and all previous states).”