Homotopy Analysis Method produces reliable numerical approximations for variable-order fractional diffusion equations as demonstrated by simulations.
Liao, Homotopy Analysis Method in Nonlinear Differential Equations, Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
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Solution of variable order fractional differential equations using Homotopy Analysis Method
Homotopy Analysis Method produces reliable numerical approximations for variable-order fractional diffusion equations as demonstrated by simulations.