چكيده به لاتين
Abstract
In this thesis, we propose a numerical algorithm for solving linear and non linear fractionaldifferential equations based on constructed integer order and fractional order
generalized hat functions operational matrices of integration. The linear and nonlinear
fractional order differential equations are transformed into a system of algebraic
equations by these matrices and these algebraic equations are solved through known
computational methods. Further some numerical examples are given to illustrate and
establish the accuracy and reliability of the proposed algorithm. The results obtained
by using the scheme presented here, are in good agreement with the analytical solutions
and numerical results presented elsewhere.
This dissertation essentially based on reference.
Keywords : Generalized hat functions, Fractional order generalized hat functions, operational matrix of integration, Block pulse functions, Fractional differential equations .
