Exact solutions of some fractal differential equations

Khalili Golmankhaneh A., Bongiorno D.

Applied Mathematics and Computation, cilt.472, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 472
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/j.amc.2024.128633
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Fractal calculus, Fractal curves, Fractal differential equations
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.