TY  - JOUR
A1  - Roul, Pradip
T1  - Numerical solutions of time fractional degenerate parabolic equations by variational iteration method with Jumarie-modified Riemann-Liouville derivative
JF  - Mathematical methods in the applied sciences
N2  - In this article, the fractional variational iteration method is employed for computing the approximate analytical solutions of degenerate parabolic equations with fractional time derivative. The time-fractional derivatives are described by the use of a new approach, the so-called Jumarie modified Riemann-Liouville derivative, instead in the sense of Caputo. The approximate solutions of our model problem are calculated in the form of convergent series with easily computable components. Moreover, the numerical solution is compared with the exact solution and the quantitative estimate of accuracy is obtained. The results of the study reveal that the proposed method with modified fractional Riemann-Liouville derivatives is efficient, accurate, and convenient for solving the fractional partial differential equations in multi-dimensional spaces without using any linearization, perturbation or restrictive assumptions.
KW  - variational iteration method
KW  - biological population equations
KW  - fractional calculus
KW  - exact solution
KW  - Mittag-Leffler function
Y1  - 2011
U6  - https://doi.org/10.1002/mma.1418
SN  - 0170-4214
VL  - 34
IS  - 9
SP  - 1025
EP  - 1035
PB  - Wiley-Blackwell
CY  - Malden
ER  -