On the Existence Results for a Mixed Hybrid Fractional Differential Equations of Sequential Type

Arab M., Awadalla M., Manigandan M., Abuasbeh K., Mahmudov N., Nandha Gopal T.

Fractal and Fractional, vol.7, no.3, 2023 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 7 Say: 3
  • Nəşr tarixi: 2023
  • Doi nömrəsi: 10.3390/fractalfract7030229
  • jurnalın adı: Fractal and Fractional
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Açar sözlər: existence, fixed point theorems, fractional differential equations, stability
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this article, we study the existence of a solution to the mixed hybrid fractional differential equations of sequential type with nonlocal integral hybrid boundary conditions. The main results are established with the aid of Darbo’s fixed point theorem and Hausdorff’s measure of noncompactness method. The stability of the proposed fractional differential equation is also investigated using the Ulam–Hyer technique. In addition, an applied example that supports the theoretical results reached through this study is included.