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

^*Corresponding author for this work

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 - 3 Mar 2026

Bibliographical note

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© 2026, Colombian Academy of Exact, Physical and Natural Sciences. All rights reserved.

Indexed Database

SCOPUS

Detailed Field of Knowledge

3-35A Physics

Publication Quartile

NAQ3

PUCE Research Lines

05 Didactics and application of physical and mathematical sciences

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10.18257/raccefyn.3288

Cite this

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

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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 - Non-conformable derivative

KW - Laplace transform

KW - Fractional calculus

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M3 - Artículo

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

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ER -

Una variación de la Transformada Doble de Laplace No-Conformable

Abstract

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Contemporary Theoretical Challenges and Practical Advances in Fractional and Generalized Calculus

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Una variación de la Transformada Doble de Laplace No-Conformable

Abstract

Bibliographical note

Indexed Database

Detailed Field of Knowledge

Publication Quartile

PUCE Research Lines

Access to Document

Other files and links

Fingerprint

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Contemporary Theoretical Challenges and Practical Advances in Fractional and Generalized Calculus

Cite this