A NEW SOLUTION METHOD FOR NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

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Küçük Resim

Tarih

2015

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

Künye