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New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 02 فروردین 1400 اصل مقاله (193.84 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2021.40834.1775 | ||
نویسندگان | ||
Mohammad Molaei1؛ Farhad Dastmalchi Saei ![]() | ||
1Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran. | ||
2Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. | ||
3Department of Mathematics, Tabriz Branch Islamic Azad University, Tabriz, Iran. | ||
چکیده | ||
In this paper, new analytical solutions for a class of conformable fractional differential equations (CFDE) and some more results about Laplace transform introduced by Abdeljawad \cite{abdeljawad2015conformable} are investigated. The Laplace transform method is developed to get the exact solution of conformable fractional differential equations. The aim of this paper is to convert the conformable fractional differential equations into ordinary differential equations (ODE), this is done by using the fractional Laplace transformation of $(\alpha+\beta)$ order. | ||
کلیدواژهها | ||
Conformable fractional differential equations؛ Fractional Laplace transform؛ Exact analytical solutions | ||
آمار تعداد مشاهده مقاله: 14 تعداد دریافت فایل اصل مقاله: 71 |