A NEW SOLUTION METHOD FOR NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
Yükleniyor...
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The aim of this paper is to obtain approximate solution of a class of nonlinear fractional Fredholm integro-differential equations by means of sinccollocation method which is not used for solving them in the literature before. The fractional derivatives are defined in the Caputo sense often used in fractional calculus. The important feature of the present study is that obtained results are stated as two new theorems. The introduced method is tested on some nonlinear problems and it seems that the method is a very efficient and powerful tool to obtain numerical solutions of nonlinear fractional integro-differential equations.
Açıklama
Anahtar Kelimeler
Nonlinear fractional Fredholm integro-differential equation, sinccollocation method, Caputo derivative, quadrature rule, mathematica
Kaynak
Discrete and Continuous Dynamical Systems-Series S
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
8
Sayı
6