Fractional Langevin type delay equations with two fractional derivatives

Mahmudov N.

Applied Mathematics Letters, vol.103, 2020 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 103
  • Nəşr tarixi: 2020
  • Doi nömrəsi: 10.1016/j.aml.2020.106215
  • jurnalın adı: Applied Mathematics Letters
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Açar sözlər: Fractional Langevin type equation, Mittag-Leffler type function
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this article, a delayed Mittag-Leffler type function is introduced. With the help of delayed Mittag-Leffler type functions, we give an explicit solution formula to linear non-homogeneous fractional delayed Langevin equations containing two Riemann–Liouville fractional derivatives. Estimation for delayed Mittag-Leffler type function in terms of exponential function is given. Existence uniqueness and Ulam-Hyers stability of solutions are obtained in terms of weighted norms.