TY - JOUR
ID - 11562
TI - Analytical solutions for the fractional Fisher's equation
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Kheiri, H.
AU - Mojaver, A.
AU - Shahi, S.
AD - Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
Y1 - 2015
PY - 2015
VL - 02
IS - 1
SP - 27
EP - 49
KW - Fractional Fisher's equation
KW - Mittag-Leffer
KW - Method of separating variables
DO -
N2 - In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified Homotopy perturbation method, it is possible to get an exact solution.
UR - https://scma.maragheh.ac.ir/article_11562.html
L1 - https://scma.maragheh.ac.ir/article_11562_5eaf48316c9984fbcf48d22c32127de1.pdf
ER -