A coupled nonlinear system of integro-differential equations using modified abc operator

Khan H., Alzabut J., Almutairi D., Alqurashi W. K., Pinelas S., Tunç O., ...Daha Fazla

Fractals, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1142/s0218348x2540105x
  • Dergi Adı: Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Compendex, INSPEC, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: Applications of Fixed Point Theorems, Fractal, Fractal Dimension, Fractional, Linearly Perturbed System, Modified ABC-Operator, Numerical Simulations, Power System, Solutions and Properties
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper explores the necessary conditions required for the solutions of an integro-differential system of n-fractional differential equations (n-FDEs) in the modified-ABC case of derivative with initial conditions. The presumed problem is a linearly perturbed system. Some classical fixed point theorems are utilized to derive the solution existence criteria. Additionally, a numerical methodology utilizing Lagrange's interpolation polynomial is developed and implemented in a dynamical framework of a power system for practical applications. In addition, we investigate the properties of Hyers-Ulam's stability and uniqueness. The findings are evaluated using graphical methods to assess the precision and suitability of the approaches.