Stability Analysis and Existence Criteria with Numerical Illustrations to Fractional Jerk Differential System Involving Generalized Caputo Derivative

Mohammed M. Matar ^[3] ; Mohammad Esmael Samei ^[1] ; Sina Etemad ^[2] ; Abdelkader Amara ^[4] ; Shahram Rezapour ^[5] ; Jehad Alzabut ^[6]
1. [1] Bu-Ali Sina University
  
  Bu-Ali Sina University
  
  Irán
2. [2] Azarbaijan Shahid Madani University
  
  Azarbaijan Shahid Madani University
  
  Irán
3. [3] Al-Azhar University-Gaza
4. [4] University of Kasdi Merbah
5. [5] Azarbaijan Shahid Madani University & Kyuing Hee University & & Kyuing Hee University & China Medical University
6. [6] OSTÍM Technical University & Prince Sultan University
Mostrar afiliaciones +
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
Idioma: inglés
Enlaces
- Texto completo
Resumen
- This inquire about ponder is committed to investigating a few properties in connection to behaviors of solutions to an extended fractional structure of the standard jerk equation. Here, we define the scheme of the general fractional jerk problem using the generalized G operators. The existence result of such a new model is derived and analyzed based on some inequalities and fixed point tools. Furthermore, analysis of its Ulam–Hyers–Rassias type stability is performed and finally, we give numerical simulations for the existing parameters of the mentioned fractional G-jerk system in the Katugampola, Caputo–Hadamard and Caputo settings under different arbitrary orders.