Existence Theory and Ulam’s Stabilities of Fractional Langevin Equation

• Rizwan, Rizwan ^[2] ; Zada, Akbar ^[1]
  1. [1] University of Peshawar

     University of Peshawar

     Pakistán

     
  2. [2] University of Buner
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 2, 2021
• Idioma: inglés
• DOI: 10.1007/s12346-021-00495-5
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we consider fractional Langevin equation and derive a formula of solutions for fractional Langevin equation involving two Caputo fractional derivatives.

    Secondly, we implement the concept of Ulam–Hyers as well as Ulam–Hyers–Rassias stability. Then, we choose Generalized Diaz–Margolis’s fixed point approach to derive Ulam–Hyers as well as Ulam–Hyers–Rassias stability results for our proposed model, over generalized complete metric space. We give several examples which support our main results.

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