Existence theory for implicit fractional q-difference equations in Banach spaces

被引:0
|
作者
Laledj, Nadjet [1 ]
Abbas, Said [2 ]
Benchohra, Mouffak [1 ]
Henderson, Johnny [3 ]
机构
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[2] Tahar Moulay Univ Saida, Dept Elect, POB 138, En Nasr 20000, Saida, Algeria
[3] Baylor Univ, Dept Math, Waco, TX 76798 USA
来源
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2022年 / 67卷 / 04期
关键词
Fractional q-difference equation; implicit; measure of noncompactness; solution; fixed point; ORDER; DERIVATIVES; INTEGRALS;
D O I
10.24193/subbmath.2022.4.02
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper deals with some existence results for a class of implicit fractional q-difference equations. The results are based on the fixed point theory in Banach spaces and the concept of measure of noncompactness. An illustrative example is given in the last section.
引用
收藏
页码:693 / 701
页数:9
相关论文
共 50 条
  • [41] On the solutions of a nonlinear system of q-difference equations
    Turan, Nihan
    Basarir, Metin
    Sahin, Aynur
    BOUNDARY VALUE PROBLEMS, 2024, 2024 (01):
  • [42] Positive Solutions for a Class of Integral Boundary Value Problem of Fractional q-Difference Equations
    Kang, Shugui
    Zhang, Yunfang
    Chen, Huiqin
    Feng, Wenying
    SYMMETRY-BASEL, 2022, 14 (11):
  • [43] EXISTENCE OF THREE POSITIVE SOLUTIONS FOR A CLASS OF RIEMANN-LIOUVILLE FRACTIONAL Q-DIFFERENCE EQUATION
    Kang, Shugui
    Chen, Huiqin
    Li, Luping
    Cui, Yaqiong
    Ma, Shiwang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (02): : 590 - 600
  • [44] Basic Theory of Nonlinear Third-Order q-Difference Equations and Inclusions
    Ahmad, Bashir
    Jose Nieto, Juan
    MATHEMATICAL MODELLING AND ANALYSIS, 2013, 18 (01) : 122 - 135
  • [45] Existence result for nonlinear fractional differential equations with nonlocal fractional integro-differential boundary conditions in Banach spaces
    Seba, Djamila
    Rebai, Hamza
    Henderson, Johnny
    GEORGIAN MATHEMATICAL JOURNAL, 2021, 28 (01) : 141 - 147
  • [46] Generalized homogeneous q-difference equations for q-polynomials and their applications to generating functions and fractional q-integrals
    Jian Cao
    Hong-Li Zhou
    Sama Arjika
    Advances in Difference Equations, 2021
  • [47] 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
  • [48] On nonlocal fractional q-integral boundary value problems of fractional q-difference and fractional q-integrodifference equations involving different numbers of order and q
    Sitthiwirattham, Thanin
    BOUNDARY VALUE PROBLEMS, 2016, : 1 - 19
  • [49] Nonlinear Multi-term Impulsive Fractional q-Difference Equations with Closed Boundary Conditions
    Ahmed Alsaedi
    Bashir Ahmad
    Hana Al-Hutami
    Qualitative Theory of Dynamical Systems, 2024, 23
  • [50] Existence and continuous dependence of mild solutions for impulsive fractional integrodifferential equations in Banach spaces
    Al-Shara, Safwan
    Al-Omari, Ahmad
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04)