Homotopy Analysis Method produces reliable numerical approximations for variable-order fractional diffusion equations as demonstrated by simulations.
[20]) 1)(0,)1)(( )1( )()( ttttD tt t C (4)` and .1)(0,)1)(( )1( )()( 0 ttttJ tt (5)
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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.