Açan, ÖmerFırat, ÖmerKeskin, Yıldıray2020-03-262020-03-2620181745-5030https://dx.doi.org/10.1080/17455030.2018.1502485https://hdl.handle.net/20.500.12395/37180In 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. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.en10.1080/17455030.2018.1502485info:eu-repo/semantics/closedAccessConformable fractional derivativeFractional derivativeFractional partial differential equationsHomotopy analysis methodReduced differential transform methodVariational iteration methodArticleQ2WOS:000522659900005Q1