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Author:

Yu, Changlong (Yu, Changlong.) | Wang, Si (Wang, Si.) | Wang, Jufang (Wang, Jufang.) | Li, Jing (Li, Jing.) (Scholars:李静)

Indexed by:

Scopus SCIE

Abstract:

Due to the great application potential of fractional q-difference system in physics, mechanics and aerodynamics, it is very necessary to study fractional q-difference system. The main purpose of this paper is to investigate the solvability of nonlinear fractional q-integro-difference system with the nonlocal boundary conditions involving diverse fractional q-derivatives and Riemann-Stieltjes q-integrals. We acquire the existence results of solutions for the systems by applying Schauder fixed point theorem, Krasnoselskii's fixed point theorem, Schaefer's fixed point theorem and nonlinear alternative for single-valued maps, and a uniqueness result is obtained through the Banach contraction mapping principle. Finally, we give some examples to illustrate the main results.

Keyword:

fractional q-integro-difference system Riemann-Stieltjes q-integrals fixed point theorems solvability q-calculus

Author Community:

  • [ 1 ] [Yu, Changlong]Beijing Univ Technol, Fac Sci, Interdisciplinary Res Inst, Beijing 100124, Peoples R China
  • [ 2 ] [Li, Jing]Beijing Univ Technol, Fac Sci, Interdisciplinary Res Inst, Beijing 100124, Peoples R China
  • [ 3 ] [Yu, Changlong]Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China
  • [ 4 ] [Wang, Si]Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China
  • [ 5 ] [Wang, Jufang]Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China

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Source :

FRACTAL AND FRACTIONAL

Year: 2022

Issue: 10

Volume: 6

5 . 4

JCR@2022

5 . 4 0 0

JCR@2022

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 7

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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