On the existence and uniqueness of a nonlinear q-difference boundary value problem of fractional order


Bekri Z., Ertürk V. S., Kumar P.

INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING, vol.13, no.01, 2022 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 13 Issue: 01
  • Publication Date: 2022
  • Doi Number: 10.1142/s1793962322500118
  • Journal Name: INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Keywords: Fractional q-derivative, principle of Banach contraction, Leary-Schauder nonlinear alternative, existence and uniqueness, boundary value problem, Q-INTEGRALS
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this research collection, we estimate the existence of the unique solution for the boundary value problem of nonlinear fractional q-difference equation having the given form