In this paper, we introduce conformable variational iteration method (C-VIM), conformable fractional reduced differential transform method (CFRDTM) and conformable homotopy analysis method (C-HAM). Between these methods, the C-VIM is introduced for the first time for fractional partial differential equations (FPDEs). These methods are new versions of well-known VIM, RDTM and HAM. In addition, above-mentioned techniques are based on new defined conformable fractional derivative to solve linear and non-linear conformable FPDEs. Firstly, we present some basic definitions and general algorithm for proposal methods to solve linear and non-linear FPDEs. Secondly, to understand better, the presented new methods are supported by some examples. Finally, the obtained results are illustrated by the aid of graphics and the tables. The applications show that these new techniques C-VIM, CFRDTM and C-HAM are extremely reliable and highly accurate and it provides a significant improvement in solving linear and non-linear FPDEs.

在本文中，我们介绍了适度变分迭代方法（C-VIM），适度分数减小差分变换方法（CFRDTM）和适度同伦分析方法（C-HAM）。在这两种方法之间，首次针对分数阶偏微分方程（FPDE）引入了C-VIM。这些方法是著名的VIM，RDTM和HAM的新版本。另外，上述技术基于新定义的合格分数导数来求解线性和非线性合格FPDE。首先，我们给出了解决线性和非线性FPDE的建议方法的一些基本定义和通用算法。其次，为了更好地理解，一些示例支持了所提出的新方法。最后，借助图形和表格说明了获得的结果。