Kesirli mertebeden integro-diferansiyel denklemlerin çözümü için sayısal bir yöntem

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.

Anahtar Kelimeler:

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

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

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,

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