Existence and Uniqueness Study of the Conformable Laplace Transform

Jihad Younis*, Bouchenak Ahmed, Mazin Aljazzazi, Rasha Al Hejaj, Hassen Aydi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform. Furthermore, the comparison theorem of conformable improper integrals is presented to further explain and justify the existence of conformable Laplace transform for some functions. The uniqueness is also established in order to determine the inverse of conformable Laplace transform for functions. Moreover, we present a table of the conformable Laplace transform of the usual functions. Finally, as an application, we use the conformable Laplace transform for solving some fractional differential equations.

Original languageEnglish
Article number4554065
JournalJournal of Mathematics
Volume2022
DOIs
Publication statusPublished - 2022
Externally publishedYes

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