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
  • [1] Existence and Ulam stability for implicit fractional q-difference equations
    Abbas, Said
    Benchohra, Mouffak
    Laledj, Nadjet
    Zhou, Yong
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [2] Existence Theory for a Langevin Fractional q-Difference Equations in Banach Space
    Boutiara, Abdellatif
    THAI JOURNAL OF MATHEMATICS, 2024, 22 (02): : 363 - 373
  • [3] Fractional q-Difference Inclusions in Banach Spaces
    Alqahtani, Badr
    Abbas, Said
    Benchohra, Mouffak
    Alzaid, Sara Salem
    MATHEMATICS, 2020, 8 (01)
  • [4] Existence and Ulam stability for implicit fractional q-difference equations
    Saïd Abbas
    Mouffak Benchohra
    Nadjet Laledj
    Yong Zhou
    Advances in Difference Equations, 2019
  • [5] On implicit fractional q-difference equations: Analysis and stability
    Laledj, Nadjet
    Salim, Abdelkrim
    Lazreg, Jamal Eddine
    Abbas, Said
    Ahmad, Bashir
    Benchohra, Mouffak
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (17) : 10775 - 10797
  • [6] Uniqueness and Ulam stability for implicit fractional q-difference equations via Picard operators theory
    Abbas, Said
    Benchohra, Mouffak
    Graef, John R.
    Laledj, Nadjet
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2023, 13 (01) : 58 - 75
  • [7] IMPLICIT CAPUTO FRACTIONAL q-DIFFERENCE EQUATIONS WITH NON INSTANTANEOUS IMPULSES
    Abbas, Said
    Benchohra, Mouffak
    Cabada, Alberto
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (03): : 215 - 234
  • [8] Existence of solutions for fractional q-difference equations
    Ulke, Oykum
    Topal, Fatma Serap
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (03): : 573 - 591
  • [9] Boundary Value Problem for Fractional q-Difference Equations with Integral Conditions in Banach Spaces
    Allouch, Nadia
    Graef, John R.
    Hamani, Samira
    FRACTAL AND FRACTIONAL, 2022, 6 (05)
  • [10] QUALITATIVE ANALYSIS OF NEUTRAL IMPLICIT FRACTIONAL q-DIFFERENCE EQUATIONS WITH DELAY
    Benchaib, Abdellatif
    Salim, Abdelkrim
    Abbas, Said
    Benchohra, Mouffak
    DIFFERENTIAL EQUATIONS & APPLICATIONS, 2024, 16 (01): : 19 - 38