Existence and Ulam stability of initial value problem for fractional perturbed functional q-difference equations

被引：1
|
作者：
Allouch, Nadia [1 ]
Hamani, Samira [1 ]
机构：
[1] Univ Mostaganem, Fac SEI, Lab Pure & Appl Math, BP 227, Mostaganem 27000, Algeria
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2024年 / 69卷 / 03期
关键词：
Initial value problem; Caputo fractional q-derivative; Burton and Kirk's fixed point theorem; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; INTEGRALS;
D O I：
10.24193/subbmath.2024.3.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we discuss the existence and uniqueness of solutions to the initial value problem for perturbed functional fractional q-difference equations involving q-derivative of the Caputo sense. By applying Banach contraction principle and Burton and Kirk's fixed point theorems. Further, we present the Ulam-Hyers and Ulam-Hyers-Rassias stabilities results by using direct analysis methods. Finally, we give two examples illustrating of the results.
引用
收藏
页码：483 / 502
页数：20
相关论文
共 50 条
  • [31] Existence of solutions for multi-point boundary value problem of fractional q-difference equation
    Ma, Junchi
    Yang, Jun
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (92) : 1 - 10
  • [32] Existence and uniqueness of solutions for fractional q-difference Schrödinger equations
    Kuikui Ma
    Zhenlai Han
    Shurong Sun
    Journal of Applied Mathematics and Computing, 2020, 62 : 611 - 620
  • [33] Boundary Value Problem for a Coupled System of Nonlinear Fractional q-Difference Equations with Caputo Fractional Derivatives
    Redhwan, Saleh S.
    Han, Maoan
    Almalahi, Mohammed A.
    Alsulami, Mona
    Alyami, Maryam Ahmed
    FRACTAL AND FRACTIONAL, 2024, 8 (01)
  • [34] Existence and multiplicity of positive solutions for fractional q-difference equations with parameter
    Li, Xinhui
    Han, Zhenlai
    Zhao, Yan
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2015, 5 (04) : 267 - 287
  • [35] Existence result for fractional q-difference equations on the half-line
    Ulke, Oykum
    Topal, Fatma Serap
    FILOMAT, 2023, 37 (05) : 1591 - 1605
  • [36] Existence Theory for a Langevin Fractional q-Difference Equations in Banach Space
    Boutiara, Abdellatif
    THAI JOURNAL OF MATHEMATICS, 2024, 22 (02): : 363 - 373
  • [37] EXISTENCE AND STABILITY OF SOLUTIONS FOR COUPLED FRACTIONAL DELAY Q-DIFFERENCE SYSTEMS
    Tian, Chunping
    Gu, Haibo
    Li, Ning
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2022, 2022
  • [38] EXISTENCE AND STABILITY OF SOLUTIONS FOR COUPLED FRACTIONAL DELAY Q-DIFFERENCE SYSTEMS
    Tian, Chunping
    Gu, Haibo
    Li, Ning
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2022, 2022
  • [39] Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory
    Abbas, Said
    Benchohra, Mouffak
    Karapinar, Erdal
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2021, 29 (03): : 5 - 21
  • [40] Positive Solutions for a Three-Point Boundary Value Problem of Fractional Q-Difference Equations
    Yang, Chen
    SYMMETRY-BASEL, 2018, 10 (09):
12345