numerical approach for solving a class of nonlinear fractional differential equation

‎it is commonly accepted that fractional differential equations play‎ ‎an important role in the explanation of many physical phenomena‎. ‎for‎ ‎this reason we need a reliable and efficient technique for the‎ ‎solution of fractional differential equations‎. ‎this paper deals with‎ ‎the numerical solution of a class of fractional differential‎ ‎equation‎. ‎the fractional derivatives are described based on the‎ ‎caputo sense‎. ‎our main aim is to generalize the chebyshev cardinal‎ ‎operational matrix to the fractional calculus‎. ‎in this work‎, ‎the‎ ‎chebyshev cardinal functions together with the chebyshev cardinal‎ ‎operational matrix of fractional derivatives are used for numerical‎ ‎solution of a class of fractional differential equations‎. ‎the main‎ ‎advantage of this approach is that it reduces fractional problems to‎ ‎a system of algebraic equations‎. ‎the method is applied to solve‎ ‎nonlinear fractional differential equations‎. ‎illustrative examples‎ ‎are included to demonstrate the validity and applicability of the‎ ‎presented technique‎.