148 citations · 284 across the 8 of their papers we have counts for
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Lie group classifications and exact solutions for time-fractional Burgers equation
Guo-cheng Wu
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential…
Fractional Method of Characteristics for Fractional Partial Differential Equations
Guo-cheng Wu
The method of characteristics has played a very important role in mathematical physics. Preciously, it was used to solve the initial value problem for partial differential equation…
A Fractional Lie Group Method For Anomalous Diffusion Equations
Guo-cheng Wu
Lie group method provides an efficient tool to solve a differential equation. This paper suggests a fractional partner for fractional partial differential equations using a fractio…
Variational Approach for Fractional Partial Differential Equations
Guo-cheng Wu
Fractional variational approach has gained much attention in recent years. There are famous fractional derivatives such as Caputo derivative, Riesz derivative and Riemann-Liouville…
Fractional Adomian Decomposition Method
Guo-cheng Wu, Ji-Huan He
A fractional Adomian decomposition method for fractional nonlinear differential equations is proposed. The iteration procedure is based on Jumarie's fractional derivative. An examp…