Exact solutions of some fractal differential equations

Alireza Khalili Golmankhaneh and Donatella Bongiorno

Applied Mathematics and Computation, 2024, vol. 472, issue C

Abstract: In this paper, we explore the intriguing field of fractal calculus as it pertains to fractal curves and fractal sets. Our study includes an exploration of the method analogues of the separable method and the integrating factor technique for solving α-order differential equations. Notably, we extend our analysis to solve Fractal Bernoulli differential equations. The applications of our findings are then showcased through the solutions of problems such as fractal compound interest and the escape velocity of the earth in fractal space and time. Visual representations of our results are also provided to enhance understanding.

Keywords: Fractal calculus; Fractal curves; Fractal differential equations (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630032400105X
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:apmaco:v:472:y:2024:i:c:s009630032400105x

DOI: 10.1016/j.amc.2024.128633

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().