Fractional Caputo-Fabrizio derivative with applications

Abstract

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.

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.