SINGLE AND SYSTEM OF FRACTIONAL NEUTRAL FUNCTIONAL<i> q</i>-DIFFERENTIAL EQUATIONS WITH APPLICATION TO PARTICLES IN THE PLANE

Samei M. E., Ahmadi A., Kaabar M. K., Siri Z., Alzabut J., AKBULUT A., ...More

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, vol.36, no.3, pp.317-340, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.1216/jie.2024.36.317
  • Journal Name: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.317-340
  • Keywords: fractional differential equations
  • Bursa Uludag University Affiliated: Yes

Abstract

We obtain the existence of solutions of single and multidimensional fractional neutral functional qdifferential equations with bounded delay based on operator equations by using Krasnoselskii's fixed point theorem. At the end, examples, which contain some tables, figures and related algorithms with numerical effect, are presented to show applications of our results.