Fractional Caputo-Fabrizio derivative with applications

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Abstract

In this thesis, I pointed out three very recent applications of the new established fractional Caputo-Fabrizio derivative and I discussed its related properties and theorems. The associated fractional integral was displayed and the Laplace transform of the Riemann-Liouville and Caputo fractional differential operators was presented.
Bu tezde, yeni geliştirilen Fractional Caputo-Fabrizio türevinin üç yeni uygulaması ele alınmış ve bu türevin özellikleri ile teoremleri tartışılmıştır. İlgili Fractional integrali, Riemann-Liouville Laplace dönüşümü ve Caputo Fractional türev operatörü gösterilmiştir.

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Caputo-Fabrizio Fractional Derivative, Gamma Function, Beta Function, Fractional Integration, Riemann-Liouville, Caputo Derivative, Laplace Transform, Kesirli Caputo-Fabrizio Türevi, Gamma Fonksiyonu, Beta Fonksiyonu, Kesirli İntegrali, Riemann-Liouville, Caputo Türevi, Laplace Dönüşümü

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Kareem, ahmed (2015). Fractional Caputo-Fabrizio derivative with applications / Fractional Caputo-Fabrizio türevi ve uygulamaları.Yayımlanmış yüksek lisans tezi. Ankara: Çankaya Üniversitesi Fen Bilimleri Enstitüsü

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