| Yazarlar (1) |
Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye |
| Özet |
| Fractional Order Stiff Systems have been studied in many areas such as chemical engineering, non linear mechanics, biochemistry, and life sciences. Hence, the need for a reliable and efficient technique for the solution of stiff systems of differential equations is of high importance. In the year 2014, Khalil et al. developed a novel definition of fractional derivative, which is called the conformable fractional derivative. It is based essentially upon the familiar limit definition of the derivative. Subsequently, in the year 2015, Abdeljawad developed the conformable fractional-derivative versions of the chain rules, exponential functions, Gronwall's inequality, integration by parts, and Taylor series expansions. Recently, Unal and Gokdogan developed a new analytical technique, which is known as the conformable fractional differential transform method (CFDTM). This method can be implemented in a large number of engineering problems. In this work, we make use of the conformable fractional differential transform method (CFDTM) in order to compute an approximate solution of the solving a class of fractional-order stiff systems. The fractional derivatives are described in the Caputo sense. The method provides the solution in the form of a rapidly convergent series Three explanatory and illustrative examples are given to represent the efficacy of the obtained results. The results attest to the efficiency of the proposed method. |
| Anahtar Kelimeler |
| Bildiri Türü | Tebliğ/Bildiri |
| Bildiri Alt Türü | Tam Metin Olarak Yayınlanan Tebliğ (Uluslararası Kongre/Sempozyum) |
| Bildiri Niteliği | Alanında Hakemli Uluslararası Kongre/Sempozyum |
| Bildiri Dili | İngilizce |
| Kongre Adı | 4th INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL APPLIED SCIENCEMATHEMATICS/STATISTICS |
| Kongre Tarihi | 19-06-2019 / 21-06-2019 |
| Basıldığı Ülke | Türkiye |
| Basıldığı Şehir | Ağrı |
