Communications in Mathematical Analysis
- Commun. Math. Anal.
- Volume 22, Number 1 (2019), 14-33.
Laplace Transform, Gronwall Inequality and Delay Differential Equations for General Conformable Fractional Derivative
In the present paper, the general conformable fractional derivative (GCFD) is considered and a corresponding Laplace transform is defined. Gronwall inequality is proved to show the exponential boundedness of a solution and using the Laplace transform the solution is found for certain classes of delay differential equations with GCFD.
Commun. Math. Anal., Volume 22, Number 1 (2019), 14-33.
First available in Project Euclid: 20 August 2019
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Pospíšil, Michal. Laplace Transform, Gronwall Inequality and Delay Differential Equations for General Conformable Fractional Derivative. Commun. Math. Anal. 22 (2019), no. 1, 14--33. https://projecteuclid.org/euclid.cma/1566266425