TY - JOUR
T1 - A novel analytical solution of a fractional diffusion problem by homotopy analysis transform method
AU - Godal, Muhammad Asif
AU - Salah, Ahmed
AU - Khan, Majid
AU - Batool, Syeda Iram
PY - 2013/11
Y1 - 2013/11
N2 - In this study, we present the homotopy analysis transform method for finding solution of fractional diffusion-type equations. We can attain these equations by substituting a first-order time derivative by a fractional-order derivative in regular diffusion equation. We add some examples in order to illustrate the usefulness and efficiency of our novel proposed technique for fractional diffusion equations.
AB - In this study, we present the homotopy analysis transform method for finding solution of fractional diffusion-type equations. We can attain these equations by substituting a first-order time derivative by a fractional-order derivative in regular diffusion equation. We add some examples in order to illustrate the usefulness and efficiency of our novel proposed technique for fractional diffusion equations.
KW - Fractional diffusion equation
KW - Fractional-order derivative
KW - Homotopy analysis transform method
UR - https://www.scopus.com/pages/publications/84885931205
U2 - 10.1007/s00521-012-1120-1
DO - 10.1007/s00521-012-1120-1
M3 - Article
AN - SCOPUS:84885931205
SN - 0941-0643
VL - 23
SP - 1643
EP - 1647
JO - Neural Computing and Applications
JF - Neural Computing and Applications
IS - 6
ER -