New approach to find the exact solution of fractional partial differential equation
2012 (English)In: WSEAS Transactions on Mathematics, ISSN 1109-2769, Vol. 11, no 10, 908-917 p.Article in journal (Refereed) Published
In this study, we present the exact solution of certain fractional partial differential equations (FPDE) by using a modified homotopy perturbation method (MHPM).The exact solutions are constructed by choosing an appropriate initial approximation and only one term of the series obtained by MHPM. The exact solutions for initial value problems of FPDE are analytically derived. The methods introduced an efficient tool for solving a wide class of time-fractional partial differential equations.
Place, publisher, year, edition, pages
2012. Vol. 11, no 10, 908-917 p.
Backward Klomogorov equation, Caputo derivative, Green function, Mitting-leffler functions
IdentifiersURN: urn:nbn:se:kth:diva-116857ScopusID: 2-s2.0-84872449530OAI: oai:DiVA.org:kth-116857DiVA: diva2:601129
QC 201506292013-01-282013-01-282015-06-29Bibliographically approved