A new theory of fractional differential calculus
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Publication:5153352
DOI10.1142/S0219530521500019zbMath1479.26007arXiv2007.10244OpenAlexW3130233725MaRDI QIDQ5153352
Xiaobing Feng, Mitchell Sutton
Publication date: 29 September 2021
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.10244
fundamental theorem of calculusweak fractional derivativesfractional differential calculusfractional derivatives of distributionsproduct and chain rules
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Cites Work
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- On Riemann-Liouville and Caputo derivatives
- Remarks on fractional derivatives
- No violation of the Leibniz rule. No fractional derivative
- Functional analysis, Sobolev spaces and partial differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On chain rule for fractional derivatives
- A new definition of fractional derivative
- Functional Fractional Calculus
- Fractional Partial Differential Equations and Their Numerical Solutions
- Nonlocal Modeling, Analysis, and Computation
- Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series
- H = W
- Stochastic models for fractional calculus