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http://dx.doi.org/10.14317/jami.2018.505

(p, q)-LAPLACE TRANSFORM  

KIM, YOUNG ROK (Department of Mathematics, Hannam University)
RYOO, CHEON SEOUNG (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.36, no.5_6, 2018 , pp. 505-519 More about this Journal
Abstract
In this paper we define a (p, q)-Laplace transform. By using this definition, we obtain many properties including the linearity, scaling, translation, transform of derivatives, derivative of transforms, transform of integrals and so on. Finally, we solve the differential equation using the (p, q)-Laplace transform.
Keywords
(p, q)-Laplace transform; (p, q)-Gamma function; (p, q)-derivative; (p, q)-integral; (p, q)-calculus; (p, q)-exponential functions; (p, q)-trigonometric functions;
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