On the double Laplace transform with respect to another function

M.R. Lemnaouar and I. El Hakki

Chaos, Solitons & Fractals, 2025, vol. 194, issue C

Abstract: This paper explores the generalized double Laplace transform (GDLT) and its applications in fractional calculus. We begin by establishing essential lemmas and definitions that form the foundation of our findings. The core properties of the GDLT are thoroughly examined, providing a comprehensive understanding of its characteristics. We present novel results related to fractional and classical partial derivatives, as well as the double convolution theorem. Additionally, we calculate the double generalized Laplace transform for various bivariate Mittag-Leffler functions. The practical utility of this new double integral transform is demonstrated through its application in solving a range of fractional partial differential equations, highlighting its significance in applied mathematics.

Keywords: Generalized double Laplace transform; ψ-Caputo fractional derivative; Bivariate Mittag-Leffler functions; Fractional partial differential equations (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925002504
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925002504

DOI: 10.1016/j.chaos.2025.116237

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().