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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Application Of The Fractional Complex Transform To Fractional Differential Equations, Zheng-Biao Li, Ji-Huan He Jan 2011

Application Of The Fractional Complex Transform To Fractional Differential Equations, Zheng-Biao Li, Ji-Huan He

Ji-Huan He

The fractional complex transform is used to analytically deal with fractional differential equations. Two examples are given to elucidate the solution procedure, showing it is extremely accessible to nonmathematicians


A Short Remark On Fractional Variational Iteration Method, Ji-Huan He Jan 2011

A Short Remark On Fractional Variational Iteration Method, Ji-Huan He

Ji-Huan He

This Letter compares the classical variational iteration method with the fractional variational iteration method. The fractional complex transform is introduced to convert a fractional differential equation to its differential partner, so that its variational iteration algorithm can be simply constructed


A New Fractal Derivation, Ji-Huan He Jan 2011

A New Fractal Derivation, Ji-Huan He

Ji-Huan He

A new fractal derive is defined, which is very easy for engineering applications to discontinuous problems, two simple examples are given to elucidate to establish governing equations with fractal derive and how to solve such equations, respectively.