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Comment on “Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs”, [Commun Nonlinear Sci Numer Simulat 47 (2017) 253-266]

Article ID Journal Published Year Pages File Type
7154868 Communications in Nonlinear Science and Numerical Simulation 2018 5 Pages PDF
Abstract
A counterexample is given to show that the product rule of the Caputo fractional derivatives does not hold except on a special point. The function-expansion method of separation variable proposed by Rui[Commun Nonlinear Sci Numer Simulat 47 (2017) 253-266] based on the product rule must be modified.
Keywords
26A33fractional calculusProduct ruleCounterexampleCaputo fractional derivative
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Preview
Comment on “Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs”, [Commun Nonlinear Sci Numer Simulat 47 (2017) 253-266]
Authors
Xiangzheng Li,
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Journal: Communications in Nonlinear Science and Numerical Simulation
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26A33
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