A numerical method for solution of integro-differential equations of fractional order

Year 2017, , 82 - 89, 01.04.2017

Sertan Alkan

https://doi.org/10.16984/saufenbilder.296796

Cited By: 2

Abstract

In this study, sinc-collocation method is introduced for
solving Volterra integro-differential equations of fractional order. Fractional
derivative is described in the Caputo sense often used in fractional calculus.
Obtained results are given to literature as two new theorems. Some numerical
examples are presented to demonstrate the theoretical results.

Keywords

Integro-differential equation, sinc-collocation method, Caputo fractional derivative

Kesirli mertebeden integro-diferansiyel denklemlerin çözümü için sayısal bir yöntem

Abstract

Bu çalışmada, sinc
sıralama yöntemi kesirli mertebeden Volterra integro-diferansiyel denklemleri
yaklaşık olarak çözmek için geliştirilmiştir. Kesirli türev, kesirli analizde
sıkça kullanılan Caputo anlamında tanımlanmıştır. Elde edilen sonuçlar iki yeni
teorem ile verilmiştir. Bazı sayısal örnekleri teorik sonuçları göstermek için
sunulmuştur.

Keywords

Integro-diferansiyel denklem, sinc-sıralama yöntemi, Caputo kesirli türevi

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