Geodesic
On linear and nonlinear fractional PDEs
Theoretical and applied mechanics, Tome 40 (2013) no. 4, p. 511 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

In this study, Variational Iteration Method (VIM) has been applied to obtain the analytical solutions of fractional order nonlinear partial differential equations. The iteration procedure is based on a relatively new approach which is called Jumarie’s fractional derivative. Several examples have been solved to elucidate effectiveness of the proposed method and the results are compared with the exact solution, revealing high accuracy and efficiency of the method.
DOI : 10.2298/TAM1304511A
Classification : 34A08 35R11
Keywords: Fractional Fokker-Plank Equation, Fractional Fornberg-Whitham equation, Variational Iteration Method, Modified Riemann–Liouville derivative. 
@article{10_2298_TAM1304511A,
     author = {Jamshad Ahmad and Qazi Mahmood ul Hassan and Syed Tauseef Mohyud-Din},
     title = {On linear and nonlinear fractional {PDEs}},
     journal = {Theoretical and applied mechanics},
     pages = {511 },
     year = {2013},
     volume = {40},
     number = {4},
     doi = {10.2298/TAM1304511A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM1304511A/}
}
TY  - JOUR
AU  - Jamshad Ahmad
AU  - Qazi Mahmood ul Hassan
AU  - Syed Tauseef Mohyud-Din
TI  - On linear and nonlinear fractional PDEs
JO  - Theoretical and applied mechanics
PY  - 2013
SP  - 511 
VL  - 40
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.2298/TAM1304511A/
DO  - 10.2298/TAM1304511A
LA  - en
ID  - 10_2298_TAM1304511A
ER  - 
%0 Journal Article
%A Jamshad Ahmad
%A Qazi Mahmood ul Hassan
%A Syed Tauseef Mohyud-Din
%T On linear and nonlinear fractional PDEs
%J Theoretical and applied mechanics
%D 2013
%P 511 
%V 40
%N 4
%U http://geodesic.mathdoc.fr/articles/10.2298/TAM1304511A/
%R 10.2298/TAM1304511A
%G en
%F 10_2298_TAM1304511A
Jamshad Ahmad; Qazi Mahmood ul Hassan; Syed Tauseef Mohyud-Din. On linear and nonlinear fractional PDEs. Theoretical and applied mechanics, Tome 40 (2013) no. 4, p. 511 . doi: 10.2298/TAM1304511A

Cité par Sources :