Journal article
Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First α-Order Lagrangian Systems: Extending Dirac and Faddeev-Jackiw Formalisms to Fractal
Complex analysis and operator theory, Vol.19(5), 90
07/2025
DOI: 10.1007/s11785-025-01718-2
Abstract
This paper presents the foundational concepts of fractal calculus before generalizing the Dirac Constraint Formalism and the Faddeev-Jackiw Formalism for first α-order Lagrangian systems in fractal spaces with non-integer dimensions. We provide a detailed analysis of the generalization process, highlighting the theoretical framework and key results, including the extended structure of the constraint systems in these Lagrangian formulations. Specific examples are discussed to demonstrate the practical application of the generalized formalism and to validate the consistency of our results. Moreover, graphical visualizations are included to enhance clarity, offering a visual interpretation of the findings and illustrating the relationship between the theory and its real-world implications.
Details
- Title: Subtitle
- Extending Dirac and Faddeev-Jackiw Formalisms to Fractal First α-Order Lagrangian Systems: Extending Dirac and Faddeev-Jackiw Formalisms to Fractal
- Creators
- Alireza Khalili Golmankhaneh - Van Yüzüncü Yıl ÜniversitesiHamdullah Şevli - Van Yüzüncü Yıl ÜniversitesiDina Tavares - University of AveiroPalle E. T. Jørgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Complex analysis and operator theory, Vol.19(5), 90
- DOI
- 10.1007/s11785-025-01718-2
- ISSN
- 1661-8254
- eISSN
- 1661-8262
- Publisher
- Springer International Publishing
- Grant note
- Van Yuzuncu Yil University
- Language
- English
- Date published
- 07/2025
- Academic Unit
- Mathematics
- Record Identifier
- 9984824167802771
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