Existence and stability results on hadamard type fractional time-delay semilinear differential equations

Mahmudov N., Al-Khateeb A.

Mathematics, vol.8, no.8, 2020 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 8 Say: 8
  • Nəşr tarixi: 2020
  • Doi nömrəsi: 10.3390/math8081242
  • jurnalın adı: Mathematics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Açar sözlər: Hadamard type derivative, Mittag-leffler type matrix function, Ulam-Hyers stability
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

A delayed perturbation of the Mittag-Leffler type matrix function with logarithm is proposed. This combines the classic Mittag-Leffler type matrix function with a logarithm and delayed Mittag-Leffler type matrix function. With the help of this introduced delayed perturbation of the Mittag-Leffler type matrix function with a logarithm, we provide an explicit form for solutions to non-homogeneous Hadamard-type fractional time-delay linear differential equations. We also examine the existence, uniqueness, and Ulam-Hyers stability of Hadamard-type fractional time-delay nonlinear equations.