Abstract
In this work, a new fractional Laplace transform called the generalized non-conformable double Laplace transform is introduced. This proposal extends the non-conformable double Laplace transforms by including generalized modulating functions ϕ(u) and ψ(v). The basic properties of the transform are established, including linearity, existence conditions, derivative properties, and convolution theorems. Finally, the generalized non-conformable double Laplace transform (NCGDT) is applied to the solution of different types of non-conformable fractional partial differential equations.
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