شماره ركورد كنفرانس :
4091
عنوان مقاله :
Wavelets method for solving nonlinear Fredholm integro-differential equations of fractional order
پديدآورندگان :
Taghi Khodadad Mohammad Faculty of Mathematics and Computer Sciences,
Hakim Sabzevari University, Sabzevar, Iran , Atabak Sayed Saeid ssatabak@gmail.com Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran
كليدواژه :
Fractional nonlinear Fredholm integro , differential equation , Operational matrix , Legendre wavelets , Riemann , Liouville fractional integration , Caputo derivative.
عنوان كنفرانس :
ششمين سمينار آناليز عددي و كاربردهاي آن
چكيده فارسي :
In this paper, we introduce Legendre wavelets and operational matrix of fractional integration.
we first convert the fractional nonlinear Fredholm integro-differential equations into a
system of nonlinear algebraic equations using Legendre wavelets operational matrix. Then, by
solving this system, we obtain the approximate solution of the main problem. In addition, we
solve an example by the proposed method and the second kind Chebyshev wavelets method.
Also, approximate solutions are compared with the exact solution.
