Jarad, FahdJarad, FahdThabet, Abdeljawad2020-05-072020-05-072018Jarad, Fahd; Thabet, Abdeljawad, "A modified Laplace transform for certain generalized fractional operators", Results in Nonlinear Analysis, No.2, pp.88-98, (2018).2636-7556https://hdl.handle.net/20.500.12416/3642It is known that Laplace transform converges for functions of exponential order. In order to extend the possibility of working in a large class of functions, we present a modified Laplace transform that we call ρ-Laplace transform, study its properties and prove its own convolution theorem. Then, we apply it to solve some ordinary differential equations in the frame of a certain type generalized fractional derivatives. This modified transform acts as a powerful tool in handling the kernels of these generalized fractional operatorseninfo:eu-repo/semantics/closedAccessGeneralized Fractional DerivativesGeneralized CaputoΡ-Laplace Transform 2010 MSC26A3335A2244A10Article28898