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Laplace Transform Method for Economic Models with Constant Proportional Caputo Derivative

Esra Karataş AkgülArt and Science Faculty, Department of Mathematics, Siirt University, TR-56100 Siirt, TurkeyAli AkgülArt and Science Faculty, Department of Mathematics, Siirt University, TR-56100 Siirt, TurkeyDumitru BǎleanuDepartment of Mathematics, Cankaya University, Balgat, 06530 Ankara, Turkey
2020en
ABI

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In this study, we solved the economic models based on market equilibrium with constant proportional Caputo derivative using the Laplace transform. We proved the accuracy and efficiency of the method. We constructed the relations between the solutions of the problems and bivariate Mittag–Leffler functions.

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