In this paper, the operational matrix of Euler functions for fractional derivative of order β in the Caputo sense is derived. Via this matrix, we develop an efficient collocation method for solving nonlinear fractional Volterra integro-differential equations. Illustrative examples are given to demonstrate the validity and applicability of the proposed method, and the comparisons are made with the existing results.
Solving Nonlinear Fractional Integro-Differential Equations of Volterra Type Using Novel Mathematical Matrices
Manuscript received July 26, 2014; final manuscript received November 27, 2014; published online April 9, 2015. Assoc. Editor: J. A. Tenreiro Machado.
Mirzaee, F., Bimesl, S., and Tohidi, E. (November 1, 2015). "Solving Nonlinear Fractional Integro-Differential Equations of Volterra Type Using Novel Mathematical Matrices." ASME. J. Comput. Nonlinear Dynam. November 2015; 10(6): 061016. https://doi.org/10.1115/1.4029281
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