[HTML][HTML] Application of the collocation method for solving nonlinear fractional integro-differential equations
Journal of Computational and Applied Mathematics, 2014•Elsevier
In this paper, using the collocation method we solve the nonlinear fractional integro-
differential equations (NFIDE) of the form: f (t, y (t), a CD t α 0 y (t),…, a CD t α ry (t))= λ G (t, y
(t),∫ atk (t, s) F (s, y (s)) ds), y (k)(a)= dk, k= 0, 1,…, m 0− 1. We study the convergence and
the stability analysis of this method for f (t, y (t), a CD t α 0 y (t),…, a CD t α ry (t))= y (t)+∑ j= 0
rbja CD t α jy (t)+ g (t). Some numerical examples are given to show the efficiency of the
presented method.
differential equations (NFIDE) of the form: f (t, y (t), a CD t α 0 y (t),…, a CD t α ry (t))= λ G (t, y
(t),∫ atk (t, s) F (s, y (s)) ds), y (k)(a)= dk, k= 0, 1,…, m 0− 1. We study the convergence and
the stability analysis of this method for f (t, y (t), a CD t α 0 y (t),…, a CD t α ry (t))= y (t)+∑ j= 0
rbja CD t α jy (t)+ g (t). Some numerical examples are given to show the efficiency of the
presented method.
In this paper, using the collocation method we solve the nonlinear fractional integro-differential equations (NFIDE) of the form: f (t, y (t), a C D t α 0 y (t),…, a C D t α r y (t))= λ G (t, y (t),∫ a t k (t, s) F (s, y (s)) d s), y (k)(a)= d k, k= 0, 1,…, m 0− 1. We study the convergence and the stability analysis of this method for f (t, y (t), a C D t α 0 y (t),…, a C D t α r y (t))= y (t)+∑ j= 0 r b j a C D t α j y (t)+ g (t). Some numerical examples are given to show the efficiency of the presented method.
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