Kesirli Kısmi Diferansiyel Denklem Sistemlerinin Yaklaşık Analitik Çözümleri

Bu makalede, kesirli kısmi diferansiyel denklem sistemlerinin çözümü için Kesirli Kompleks Diferansiyel Dönüşüm Yöntemi olarak adlandırılan yeni bir teknik önerilmektedir. Bu yöntem başlica iki yöntemin, yani Kesirli Kompleks Dönüşüm ve Diferansiyel Dönüşüm Yöntemi yöntemlerinin bir birleşimidir. Bu yeni yaklaşımın etkinliği, kesirli kısmi diferansiyel denklem sistemlerine uygulanarak başarıyla gösterilmiştir. Sonuç olarak, elde edilen sonuçlar bu yeni yaklaşımın çok etkili ve basit olduğunu ortaya koymaktadır

Anahtar Kelimeler:

Diferensiyel dönüşüm yöntemi, Kesirli kompleks dönüşüm, Kısmi türevli diferensiyel denklemler, Kesirli kısmi diferensiyel denklemler

Approximate analytical solutions of systems of fractional partial differential equations

In this article, a new technique which is called Fractional Complex Differential Transformation Method FCDTM is proposed for solving systems of fractional partial differential equations FPDEs . This method is mainly combination of two methods which are Fractional Complex Transform FCT and Differential Transform Method DTM . The efficiency of the new approach is illustrated by applying it successfully to systems of fractional partial differential equations. As a conclusion, the results reveal that the new approach is very effective and simple.

Keywords:

Systems of fractional partial differential equations, fractional complex transform, differential transform method, partial differential equation.,

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