On Non Conformable Fractional Laplace Transform

Authors

Miguel Vivas-Cortez, Faculty of Natural and Exact Sciences, School of Physics and Mathematics, Pontifical Catholic University of Ecuador , Quito, EcuadorFollow
Juan E. Na ́poles Valde ́s, Faculty of Exact, Natural and Surveying Sciences ( UNNE, FaCENA), National University of the Northeast, Ave. Libertad 5450, Corrientes 3400, ArgentinaFollow
Jorge Eliecer Herna ́ndez Herna ́ndez, Economic and Business Sciences, Quantitative Techniques Department, Lisandro Alvarado Westcentral University (UCLA), Barquisimeto, VenezuelaFollow
Jeaneth Velasco Velasco, Exact Sciencies Department, Escuela Superior Polite ́cnica del Eje ́rcito (ESPE), Quito, EcuadorFollow
Oswaldo Larreal, Department of Mathematics and Statistics, Technical University of Manab ́ı, Institute of Basic Sciences, 130105, Portoviejo, EcuadorFollow

Author Country (or Countries)

Ecuador

Abstract

In the present paper, the main theorems of the classical Laplace transform are generalized in the non-conforming Laplace transform with nucleus et−α . 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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150401

Recommended Citation

Vivas-Cortez, Miguel; E. Na ́poles Valde ́s, Juan; Eliecer Herna ́ndez Herna ́ndez, Jorge; Velasco Velasco, Jeaneth; and Larreal, Oswaldo (2021) "On Non Conformable Fractional Laplace Transform," Applied Mathematics & Information Sciences: Vol. 15: Iss. 4, Article 1.
DOI: http://dx.doi.org/10.18576/amis/150401
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss4/1