Direct Numerical Solution of Fractional Differential, Integral and Integro-differential Equations by Using Numerical Inversion of Laplace Transform

Author(s):

S. Bazm

Message:
Abstract:
In this paper, we use operational matrices of piecewise constant orthog-onal functions on the interval [0,1] to solve fractional differential, integral and integro-differential equations without solving any system. We first ob- tain Laplace transform of the problem and then we find numerical inversion of Laplace transform by operational matrices. Numerical examples show that the approximate solutions have a good degree of accuracy.
Keywords:

Fractional differential equations , Fractional integral equations , Fractional integro , differential equations , Piecewise constant orthogonal func , tions , Operational matrices , Laplace transforms , inversion of Laplace trans , form

Language:
Persian
Published:
نشریه علوم دانشگاه خوارزمی, Volume:11 Issue: 2, 2012
Pages:
161 to 182
https://www.magiran.com/p1074985  
سامانه نویسندگان
  • Sohrab Bazm
    Corresponding Author (1)
    Associate Professor Department of Mathematics, Faculty of Science, Maragheh, Iran, University of Maragheh, Maragha, Iran
    Bazm، Sohrab
اطلاعات نویسنده(گان) توسط ایشان ثبت و تکمیل شده‌است. برای مشاهده مشخصات و فهرست همه مطالب، صفحه رزومه را ببینید.
مقالات دیگری از این نویسنده (گان)