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
• Enlaces
  • Texto completo
• 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.

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