https://doi.org/10.1140/epjp/i2018-12010-6
Regular Article
Analytical solution of the nonlinear diffusion equation
1
Department of Mathematics, AMITY School of Applied Science, AMITY University Rajasthan, 303002, Jaipur, India
2
School of Liberal Studies, School of Liberal Studies, Ambedkar University, 110006, Delhi, India
* e-mail: pranaygoswami83@gmail.com
Received:
27
December
2017
Accepted:
10
April
2018
Published online:
16
May
2018
In the present paper, we derive the solution of the nonlinear fractional partial differential equations using an efficient approach based on the q -homotopy analysis transform method (q -HATM). The fractional diffusion equations derivatives are considered in Caputo sense. The derived results are graphically demonstrated as well.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018