Una variación de la Transformada Doble de Laplace No-Conformable

Harold David Jarrín; José Luis Marcillo-Parra; Janneth Velasco-Velasco; Miguel Vivas-Cortez

doi:10.18257/raccefyn.3288

Una variación de la Transformada Doble de Laplace No-Conformable

Translated title of the contribution: A variation of the Non-Conformable Double Laplace Transform

Harold David Jarrín
, José Luis Marcillo-Parra
, Janneth Velasco-Velasco
, Miguel Vivas-Cortez

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we introduce the non-conformable double Laplace transform, developed to solve differential equations of functions of two variables within the framework of local fractional calculus. Its main properties are established, and examples are provided to illustrate the solution of non-conformable partial differential equations.

Translated title of the contribution	A variation of the Non-Conformable Double Laplace Transform
Original language	Spanish
Pages (from-to)	213-233
Number of pages	21
Journal	Revista de la Academia Colombiana de Ciencias Exactas, Fisicas y Naturales
Volume	50
Issue number	194
DOIs	https://doi.org/10.18257/raccefyn.3288
State	Published - Mar 3 2026

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10.18257/raccefyn.3288

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abstract = "In this paper, we introduce the non-conformable double Laplace transform, developed to solve differential equations of functions of two variables within the framework of local fractional calculus. Its main properties are established, and examples are provided to illustrate the solution of non-conformable partial differential equations.",

keywords = "Fractional calculus, Laplace transform, Non-conformable derivative",

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AU - Jarrín, Harold David

AU - Marcillo-Parra, José Luis

AU - Velasco-Velasco, Janneth

AU - Vivas-Cortez, Miguel

PY - 2026/3/3

Y1 - 2026/3/3

N2 - In this paper, we introduce the non-conformable double Laplace transform, developed to solve differential equations of functions of two variables within the framework of local fractional calculus. Its main properties are established, and examples are provided to illustrate the solution of non-conformable partial differential equations.

AB - In this paper, we introduce the non-conformable double Laplace transform, developed to solve differential equations of functions of two variables within the framework of local fractional calculus. Its main properties are established, and examples are provided to illustrate the solution of non-conformable partial differential equations.

KW - Fractional calculus

KW - Laplace transform

KW - Non-conformable derivative

UR - https://www.scopus.com/pages/publications/105032213420

U2 - 10.18257/raccefyn.3288

DO - 10.18257/raccefyn.3288

M3 - Artículo

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SN - 0370-3908

VL - 50

SP - 213

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JO - Revista de la Academia Colombiana de Ciencias Exactas, Fisicas y Naturales

JF - Revista de la Academia Colombiana de Ciencias Exactas, Fisicas y Naturales

IS - 194

ER -

Una variación de la Transformada Doble de Laplace No-Conformable

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