On Non Conformable Fractional Laplace Transform

Miguel Vivas-Cortez; Juan E.Ndpoles Valdes; Jorge Eliecer Herndndez Herndndez; Jeaneth Velasco Velasco; Oswaldo Larreal

doi:10.18576/amis/150401

On Non Conformable Fractional Laplace Transform

Miguel Vivas-Cortez^*
, Juan E.Ndpoles Valdes
, Jorge Eliecer Herndndez Herndndez
, Jeaneth Velasco Velasco
, Oswaldo Larreal

^*Corresponding author for this work

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

14 Scopus citations

Abstract

In the present paper, the main theorems of the classical Laplace transform are generalized in the non-conforming Laplace transform with nucleus e^t. We calculate the Laplace transform of non-conforming agreement of this kernel from some elementary functions and establish the non-conforming version of the transform of the successive derivative, the integral of a function and the convolution of fractional functions. In addition, the bounded and the existence of the non-conforming Laplace transform is presented. Finally, we show the application of N₁- Transform to solving fractional differential equations.

Original language	English
Pages (from-to)	403-409
Number of pages	7
Journal	Applied Mathematics and Information Sciences
Volume	15
Issue number	4
DOIs	https://doi.org/10.18576/amis/150401
State	Published - 1 Jul 2021

Bibliographical note

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© 2021 NSP Natural Sciences Publishing Cor. All Rights Reserved.

Funding

Dr. Miguel J. Vivas-Cortez is grateful to Dirección de Investigación from Pontificia Universidad Católica del Ecuador under the project entitled: Some inequalities using generalized convexity (Algunas desigualdades usando convexidad generalizada). The authors are grateful to the anonymous referee for the careful checking of the details and the constructive comments that improved this paper and the editorial team of the journal Applied Mathematics & Information Scienses for the technical support.

Keywords

Laplace fractional transform
fractional calculus

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keywords = "Laplace fractional transform, fractional calculus",

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AU - Vivas-Cortez, Miguel

AU - Valdes, Juan E.Ndpoles

AU - Herndndez, Jorge Eliecer Herndndez

AU - Velasco, Jeaneth Velasco

AU - Larreal, Oswaldo

PY - 2021/7/1

Y1 - 2021/7/1

N2 - In the present paper, the main theorems of the classical Laplace transform are generalized in the non-conforming Laplace transform with nucleus et. We calculate the Laplace transform of non-conforming agreement of this kernel from some elementary functions and establish the non-conforming version of the transform of the successive derivative, the integral of a function and the convolution of fractional functions. In addition, the bounded and the existence of the non-conforming Laplace transform is presented. Finally, we show the application of N1- Transform to solving fractional differential equations.

AB - In the present paper, the main theorems of the classical Laplace transform are generalized in the non-conforming Laplace transform with nucleus et. We calculate the Laplace transform of non-conforming agreement of this kernel from some elementary functions and establish the non-conforming version of the transform of the successive derivative, the integral of a function and the convolution of fractional functions. In addition, the bounded and the existence of the non-conforming Laplace transform is presented. Finally, we show the application of N1- Transform to solving fractional differential equations.

KW - Laplace fractional transform

KW - fractional calculus

UR - https://www.scopus.com/pages/publications/85110717515

U2 - 10.18576/amis/150401

DO - 10.18576/amis/150401

M3 - Article

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SP - 403

EP - 409

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 4

ER -

On Non Conformable Fractional Laplace Transform

Abstract

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