Abstract
In the current work, we have introduced a new deformation and
generalization of the Sumudu transform called the Conformable Double
Sumudu Transform (CDST), which can be applied to solve conformable
fractional partial differential equations (CFPDEs). Further, we proposed
some fundamental properties of the (CDST). To show the efficiency,
applicability, high accuracy, and simplicity of the proposed transform,
we apply this new transform to solve a wide class of linear fractional
partial differential equations in the sense of Conformable fractional
derivative (CFD).