Article ID Journal Published Year Pages File Type
7155558 Communications in Nonlinear Science and Numerical Simulation 2015 7 Pages PDF
Abstract
Jumarie proposed a modified Riemann-Liouville derivative definition and gave two basic fractional calculus formulae (u(t)v(t))(α)=u(α)(t)v(t)+u(t)v(α)(t) and (f(u(t)))(α)=fu′u(α)(t). We give two counterexamples to show that Jumarie's two formulae are not true. Respectively, all results obtained in references by using Jumarie's these two formulae are incorrect. In the end, we give the corresponding formulae.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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