Existence of the Conformable Double Laplace–Elzaki Transform and Applications

Zaid Zaqzaq, Sharifa Al-Sharif and Waseem Ghazi Alshanti

Journal of Applied Mathematics, 2025, vol. 2025, 1-11

Abstract: In this study, we introduce and establish the existence of the conformable fractional Laplace–Elzaki transform (CLET), a new integral transform designed to handle fractional-order problems. Several fundamental properties and theorems of the CLET are derived and discussed. Using these properties, we demonstrate how fractional integral, ordinary, and partial differential equations can be systematically reduced to simpler algebraic forms. Numerical examples and graphical results are presented to illustrate the efficiency of the proposed approach. Compared with existing methods, the CLET provides a more direct and practical framework for solving fractional differential equations, offering both theoretical significance and potential applications in mathematical modeling of physical systems.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:9950645

DOI: 10.1155/jama/9950645

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