On initial value problems of fractal delay equations

Khalili Golmankhaneh A., Tejado I., Şevli H., Valdés J. E. N.

Applied Mathematics and Computation, cilt.449, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 449
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.amc.2023.127980
  • 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 delay differential equations, Neutral delay differential equations, Fractal retarded delay differential equations
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we give a brief summary of fractal calculus. Fractal functional differential equations are formulated as a framework that provides a mathematical model for the phenomena with fractal time and fractal structure. Fractal retarded, neutral, and renewal delay differential equations with constant coefficients are solved by the method of steps and using Laplace transform. The graphs of solutions are given to show the details.