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Question: how pdsolve time-fractional equation in maple?

Question:how pdsolve time-fractional equation in maple?

torabi 85 Maple 2015
numeric pdsolve
September 20 2016
0

hi...how i can pdsolve this equation numerically or analyticlly?

this equation is time-fractional  equation with generalized Cattaneo model

where

 

 is the fractional derivative operator considered in the
Caputo sense.

 

FRACTION.mw

restart

k := 1; -1; rho := 1; -1; h := 1; -1; alpha := 2-Upsilon; -1; 0 < Upsilon and Upsilon <= 1

0 < Upsilon and Upsilon <= 1

 (1)

k*(diff(T(z, t), z, z)) = rho*(diff(T(z, t), [`$`(t, alpha)]))

diff(diff(T(z, t), z), z) = diff(T(z, t), [`$`(t, 2-Upsilon)])

 (2)

k*(diff(T((1/2)*h, t), z)) = 1:

k*(diff(T((-h)*(1/2), t), z)) = 0:

T(z, 0) = 0

T(z, 0) = 0

 (3)

NULL



Download FRACTION.mw

 
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