Conformable Laplace Transform of Fractional Differential Equations
AbstractIn this paper, we use the conformable fractional derivative to discuss some fractional linear differential equations with constant coefficients. By applying some similar arguments to the theory of ordinary differential equations, we establish a sufficient condition to guarantee the reliability of solving constant coefficient fractional differential equations by the conformable Laplace transform method. Finally, the analytical solution for a class of fractional models associated with the logistic model, the von Foerster model and the Bertalanffy model is presented graphically for various fractional orders. The solution of the corresponding classical model is recovered as a particular case. View Full-Text
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Silva, F.S.; Moreira, D.M.; Moret, M.A. Conformable Laplace Transform of Fractional Differential Equations. Axioms 2018, 7, 55.
Silva FS, Moreira DM, Moret MA. Conformable Laplace Transform of Fractional Differential Equations. Axioms. 2018; 7(3):55.Chicago/Turabian Style
Silva, Fernando S.; Moreira, Davidson M.; Moret, Marcelo A. 2018. "Conformable Laplace Transform of Fractional Differential Equations." Axioms 7, no. 3: 55.
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