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On the generalized fractal calculus of variations
- Issue Date
- Mar-2026
- Publisher
- Springer
- Keywords
- Fractal calculus; Calculus of variations; Fractal sets; Independent variables; Dependent variables
- Citation
- Research in the Mathematical Sciences, v.13, no.1, pp 1 - 25
- Pages
- 25
- Indexed
- SCIE
SCOPUS
- Journal Title
- Research in the Mathematical Sciences
- Volume
- 13
- Number
- 1
- Start Page
- 1
- End Page
- 25
- ISSN
- 2522-0144
2197-9847
- Abstract
- In this paper, we provide a brief overview of fractal calculus and present a comprehensive study of the calculus of variations for functionals on fractal sets. We begin by introducing the calculus of variations for functionals with several dependent variables on fractal sets. We then explore the calculus of variations for functionals with several independent variables on fractal sets. Subsequently, we investigate the calculus of variations for functionals with both several independent and dependent variables on fractal sets. Finally, we suggest applications of fractal calculus of variations in physics, providing examples and plots to illustrate the details.
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