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
  • [21] Implicit fractional differential equations with Φ-Caputo fractional derivative in Banach spaces
    Baitiche, Zidane
    Derbazi, Choukri
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (05) : 1237 - 1252
  • [22] ON IMPULSIVE IMPLICIT RIESZ-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH RETARDATION AND ANTICIPATION IN BANACH SPACES
    Rahou, Wafaa
    Salim, Abdelkrim
    Benchohra, Mouffak
    Lazreg, Jamal Eddine
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (03): : 535 - 558
  • [23] On the existence of solutions for fractional q-difference inclusions with q-antiperiodic boundary conditions
    Ahmad, Bashir
    Etemad, Sina
    Ettefagh, Mina
    Rezapour, Shahram
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2016, 59 (02): : 119 - 134
  • [24] Boundary value problems for fractional q-difference equations with nonlocal conditions
    Li, Xinhui
    Han, Zhenlai
    Sun, Shurong
    Lu, Hongling
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [25] Fractional q-difference hybrid equations and inclusions with Dirichlet boundary conditions
    Bashir Ahmad
    Sotiris K Ntouyas
    Advances in Difference Equations, 2014
  • [26] Existence Results for Impulsive Fractional q-Difference Equation with Antiperiodic Boundary Conditions
    Zuo, Mingyue
    Hao, Xinan
    JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [27] Singular boundary value problem for fractional q-difference equations with a parameter
    Zhang, Lulu
    Sun, Shurong
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2022, 12 (05) : 431 - 448
  • [28] Fractional q-difference hybrid equations and inclusions with Dirichlet boundary conditions
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [29] Entire solutions of q-difference equations and value distribution of q-difference polynomials
    Zhang, Jilong
    Yang, Lianzhong
    ANNALES POLONICI MATHEMATICI, 2013, 109 (01) : 39 - 46
  • [30] Existence and uniqueness of solutions for mixed fractional q-difference boundary value problems
    Zhang, Lulu
    Sun, Shurong
    BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)