Browsing by Author "Azim, Mohammad athar"

Filter results by typing the first few letters
Now showing 1 - 1 of 1
  • Thumbnail Image
    Article
    A Coupled Nonlinear System of Integro-Differential Equations Using Modified Abc Operator
    (World Scientific Publ Co Pte Ltd, 2025) Khan, Hasib; Alzabut, Jehad; Almutairi, D. K.; Alqurashi, Wafa khalaf; Pinelas, Sandra; Tunc, Osman; Azim, Mohammad athar
    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