We propose conformable Adomian decomposition method (CADM) for fractional
partial differential equations (FPDEs). This method is a new Adomian
decomposition method (ADM) based on conformable derivative operator (CDO) to
solve FPDEs. At the same time, conformable reduced differential transform
method (CRDTM) for FPDEs is briely given and a numerical comparison is made
between this method and the newly introduced CADM. In applied science, CADM can
be used as an alternative method to obtain approximate and analytical solutions
for FPDEs as CRDTM. In this study, linear and non-linear three problems are
solved by these two methods. In these methods, the obtained solutions take the
form of a convergent series with easily computable algorithms. For the
applications, the obtained results by these methods are compared to each other
and with the exact solutions. When applied to FPDEs, it is seem that CADM
approach produces easy, fast and reliable solutions as CRDTM