tailieunhanh - Báo cáo hóa học: " Research Article On Efficient Method for System of Fractional Differential Equations"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On Efficient Method for System of Fractional Differential Equations | Hindawi Publishing Corporation Advances in Difference Equations Volume 2011 Article ID 303472 15 pages doi 2011 303472 Research Article On Efficient Method for System of Fractional Differential Equations Najeeb Alam Khan 1 Muhammad Jamil 2 3 Asmat Ara 1 and Nasir-Uddin Khan1 1 Department of Mathematics University of Karachi Karachi 75270 Pakistan 2 Abdul Salam School of Mathematical Sciences GC University Lahore Pakistan 3 Department of Mathematics NEDUET Karachi 75270 Pakistan Correspondence should be addressed to Najeeb Alam Khan njbalam@ Received 14 December 2010 Accepted 5 February 2011 Academic Editor J. J. Trujillo Copyright 2011 Najeeb Alam Khan et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. The present study introduces a new version of homotopy perturbation method for the solution of system of fractional-order differential equations. In this approach the solution is considered as a Taylor series expansion that converges rapidly to the nonlinear problem. The systems include fractional-order stiff system the fractional-order Genesio system and the fractional-order matrix Riccati-type differential equation. The new approximate analytical procedure depends only on two components. Comparing the methodology with some known techniques shows that the present method is relatively easy less computational and highly accurate. 1. Introduction Fractional differential equations have received considerable interest in recent years and have been extensively investigated and applied for many real problems which are modeled in different areas. One possible explanation of such unpopularity could be that there are multiple nonequivalent definitions of fractional derivatives 1 . Another difficulty is that fractional derivatives have no evident geometrical interpretation because of their .

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