Analysis of Q-Fractional Implicit Differential Equation with Nonlocal Riemann–Liouville and Erdélyi-Kober Q-Fractional Integral Conditions

Akbar Zada ^[1] ; Mehboob Alam ^[1] ; Khansa Hina Khalid ^[1] ; Ramsha Iqbal ^[1] ; Ioan-Lucian Popa ^[2]
1. [1] University of Peshawar
  
  University of Peshawar
  
  Pakistán
2. [2] University of Alba Iulia
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 3, 2022
Idioma: inglés
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Resumen
- This manuscript aims to present the existence, uniqueness, and various kinds of Ulam’s stability for the solution of the implicit q-fractional differential equation corresponding to nonlocal Erdélyi-Kober q-fractional integral conditions. We use different fixed point theorems to obtain the existence and uniqueness of solution. For stability, we utilize the classical technique of nonlinear functional analysis. The examples are presented as applications to illustrate the main results.