On Qualitative Analysis for Time-Dependent Semi-Linear Fractional Differential Systems

Matar M. M., Alzabut J., Abbas M. I., Awadallah M. M., Mahmudov N.

Progress in Fractional Differentiation and Applications, vol.8, no.4, pp.525-544, 2022 (Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 8 Say: 4
  • Nəşr tarixi: 2022
  • Doi nömrəsi: 10.18576/pfda/080406
  • jurnalın adı: Progress in Fractional Differentiation and Applications
  • Jurnalın baxıldığı indekslər: Scopus
  • Səhifə sayı: pp.525-544
  • Açar sözlər: Dependence on parameters, Existence, Fixed point theorems, Priori bounds, Semi-linear fractional differential system, Uniqueness
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

This paper investigates some qualitative properties of solutions for fractional differential systems. Particularly, we focus on existence, uniqueness, priori bounds, and dependence on parameters for the solution. Reported results are proved via fixed point theorems and Pachpatte inequality. Unlike most of previous results, the existence theorem is proved under non-Lipschitzian condition. This work is supported with an example to validate the obtained results applicability