Conformable Laplace Transform of Fractional Differential Equations

Autor:	Fernando S. Silva, Davidson M. Moreira, Marcelo A. Moret
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	fractional differential equations conformable derivative Bernoulli equation exact solution Mathematics QA1-939
Zdroj:	Axioms, Vol 7, Iss 3, p 55 (2018)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms7030055
Popis:	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.
Databáze:	Directory of Open Access Journals
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