A class of nonlocal impulsive differential equations with conformable fractional derivative

Mohamed Bouaoui; Ahmed Kajouni; Khalid Hilal; Said Melliani

Ayuda

A class of nonlocal impulsive differential equations with conformable fractional derivative

Autores: Mohamed Bouaoui, Ahmed Kajouni, Khalid Hilal, Said Melliani
Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 24, Nº. 3, 2022, págs. 439-455
Idioma: inglés
DOI: 10.56754/0719-0646.2403.0439
Enlaces
- Texto completo
Resumen
- español
  Resumen En este artículo, tratamos la fórmula de Duhamel, la existencia, unicidad y estabilidad de soluciones mild de una clase de ecuaciones diferenciales no locales impulsivas con derivadas fraccionarias conformables. Los resultados principales se basan en teoría de semigrupos, combinada con algunos teoremas de punto fijo. También entregamos un ejemplo para ilustrar la aplicabilidad de nuestros resultados abstractos.
- English
  Abstract In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of non-local impulsive differential equations with conformable fractional derivative. The main results are based on the semi-group theory combined with some fixed point theorems. We also give an example to illustrate the applicability of our abstract results.
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