Conformable Laplace Transform of Fractional Differential Equations

Axioms

MarceloA. Moret¹  DavidsonM. Moreira¹  FernandoS. Silva² 

[1] Centro Universitário SENAI CIMATEC, Salvador, BA 41650-010, Brazil;Department of Exact and Technological Sciences, State University of Southwest Bahia, Vitória da Conquista, BA 45083-900, Brazil;

关键词: fractional differential equations;    conformable derivative;    Bernoulli equation;    exact solution;   

DOI  :  10.3390/axioms7030055

来源: DOAJ

【 摘 要 】

In 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.

【 授权许可】

Unknown