Journal article
Double fractal integral calculus of variations
The journal of Analysis
04/28/2026
DOI: 10.1007/s41478-026-01081-1
Abstract
In this article, we give a short summary of fractal variation in calculus, deriving both the general form of the fractal Euler equation and another version. Moreover, we present a double integral calculus of variations, which encompasses the classical calculus of variations for two variables as specific instances. Our study also explores fractal double integrals over standard regions, thus establishing the fundamental theorem of fractal double integrals.
Details
- Title: Subtitle
- Double fractal integral calculus of variations
- Creators
- Gulizar Gulenay Zengin - Usak UniversityHemanta Kalita - Barkatullah UniversitySantosh Kumar - North Eastern Hill UniversityPalle E. T. Jorgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- The journal of Analysis
- DOI
- 10.1007/s41478-026-01081-1
- ISSN
- 0971-3611
- eISSN
- 2367-2501
- Publisher
- Springer Nature
- Number of pages
- 24
- Language
- English
- Electronic publication date
- 04/28/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985163543802771
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