Solution of conformable fractional ordinary differential equations via differential transform method

详细信息    查看全文

• 作者：Emrah Ü ; nal^a ; ^{emrah.unal@artvin.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; Ahmet Gö ; kdoğan^b ; ^{gokdogan@gumushane.edu.tr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Conformable fractional derivative ; Fractional power series ; Conformable fractional differential transform method ; Conformable fractional ordinary differential equations
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：128
• 期：Complete
• 页码：264-273
• 全文大小：430 K

文摘

Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the fractional versions of chain rules, exponential functions, Gronwall’s inequality, integration by parts, Taylor power series expansions is developed in (Abdeljawad, 2015). In this paper, we give conformable fractional differential transform method and its application to conformable fractional differential equations.