THEORY AND APPLICATIONS OF THE DOUBLE LAPLACE TRANSFORM FOR LOCAL DERİVATİVES WİTH THE MITTAG LEFFLER KERNEL

Authors : Burak Özküçük, Erdal Baş

Pages : 774-784

Doi:10.35414/akufemubid.1569312

View : 98 | Download : 72

Publication Date : 2025-08-04

Article Type : Research Paper

Abstract :This article aims to define the 𝑀-derivative double Laplace transform, which is the general form of the six-parameter conformable derivative involving the Mittag-Leffler function. It is expressed with several theorems and will give us a useful and dependable method for solving fractional 𝑀-derivative partial differenial equations. Furthermore, the application of these given definitions and theorems to fractional partial differential equations is shown. Finding solutions to partial differential equations containing 𝑀-derivatives that can match mathematical, engineering, and physical mode ls may be accomplished with the use of this transformation.
Keywords : M-türev, Laplace dönüşümü, İki katlı M- Laplace dönüşümü, Mattag Leffler fonksiyonu

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