
The authors consider a general form of fractional derivative; namely $g$-fractional derivatives, where the kernel $g$ is a function on the space of absolutely continuous functions. They generalized the Laplace transform in order to be applicable for $g$-fractional derivatives and apply this transform to solve some fractional differential equations.
generalized Laplace transform, Laplace transform, Fractional derivatives and integrals, generalized fractional derivatives, Fractional ordinary differential equations, generalized Caputo fractional derivative
generalized Laplace transform, Laplace transform, Fractional derivatives and integrals, generalized fractional derivatives, Fractional ordinary differential equations, generalized Caputo fractional derivative
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