Solution of the nonlinear fractional diffusion equation with absorbent term and external force

Das, S.; Vishal, K.; Gupta, P.K.

dc.contributor.author	Das, S.
dc.contributor.author	Vishal, K.
dc.contributor.author	Gupta, P.K.
dc.date.accessioned	2021-10-11T06:16:30Z
dc.date.available	2021-10-11T06:16:30Z
dc.date.issued	2011-08
dc.identifier.issn	0307904X
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1790
dc.description.abstract	The article presents the approximate analytical solutions of general nonlinear diffusion equation with fractional time derivative in the presence of an absorbent term and a linear external force obtained with the help of powerful mathematical tool like Homotopy Perturbation Method. By using initial value, the approximate analytical solutions of the equation are derived. The fractional derivatives are described in the Caputo sense. Numerical results for different particular cases are presented graphically. The anomalous behavior of nonlinear diffusivity in the presence or absence of external force and reaction term are calculated numerically and presented graphically.	en_US
dc.description.sponsorship	Applied Mathematical Modelling	en_US
dc.language.iso	en	en_US
dc.relation.ispartofseries	Issue 8;Volume 35
dc.subject	Absorbent term;	en_US
dc.subject	Caputo derivative;	en_US
dc.subject	Fractional Brownian motion;	en_US
dc.subject	Fractional diffusion equation;	en_US
dc.subject	Nonlinear partial differential equation	en_US
dc.title	Solution of the nonlinear fractional diffusion equation with absorbent term and external force	en_US
dc.type	Article	en_US