A new problem involving an anisotropic κ⃗(⋅)-Laplacian operator

El-Houari Hamza, Arhrrabi Elhoussain, J. Vanterler da C. Sousa and Leandro S. Tavares

Chaos, Solitons & Fractals, 2026, vol. 209, issue P1

Abstract: This study investigates the existence of multiple solutions for a fractional differential problem within the context of a specific ψ-Hilfer fractional operator space (for a short, ψ-HFO), incorporating an anisotropic κ⃗(⋅)-Laplacian operator under Dirichlet boundary conditions. The approach employed hinges on specialized sub-supersolutions, L∞ estimates and the application of the Mountain Pass Theorem. Our findings represent novel contributions to the literature, particularly within the domain of problems involving ψ-HFO with the κ⃗(⋅)-Laplacian operator. This investigation significantly advances understanding within this specific class of fractional differential problems.

Keywords: ψ-Hilfer derivative; Anisotropic ▪-Laplacian operator; Sub-supersolutions; Mountain pass theorem (search for similar items in EconPapers)
Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077926005060
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:209:y:2026:i:p1:s0960077926005060

DOI: 10.1016/j.chaos.2026.118365

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. ().