Fractional calculus is a rapidly going area from both experimental and theoretical points of view. As a result new methods and techniques should be developed in order to deal with new types of fractional differential equations. In this paper the operational matrix of fractional derivative together with the τ method are used to solve the linear systems of fractional differential equations. The results of this method are shown by solving three illustrative examples. By comparing the obtained results with the analytic solutions and with the ones provided by three standard methods for solving the fractional differential equations we conclude that our method gave comparable results.
The Fractional Linear Systems of Equations Within an Operational Approach
Contributed by the Design Engineering Division of ASME for publication in the Journal of Computational and Nonlinear Dynamics. Manuscript received May 3, 2012; final manuscript received July 2, 2012; published online August 31, 2012. Assoc. Editor: J. A. Tenreiro Machado.
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Baleanu, D., Saadatmandi, A., Kadem, A., and Dehghan, M. (August 31, 2012). "The Fractional Linear Systems of Equations Within an Operational Approach." ASME. J. Comput. Nonlinear Dynam. April 2013; 8(2): 021011. https://doi.org/10.1115/1.4007192
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