Analysis of Q-Fractional Implicit Differential Equation with Nonlocal Riemann-Liouville and Erdelyi-Kober Q-Fractional Integral Conditions

被引：9
|
作者：
Zada, Akbar [1 ]
Alam, Mehboob [1 ]
Khalid, Khansa Hina [1 ]
Iqbal, Ramsha [1 ]
Popa, Ioan-Lucian [2 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar, Khyber Pakhtunk, Pakistan
[2] 1 Decembrie 1918 Univ Alba Iulia, Dept Exact Sci & Engn, Alba Iulia 510009, Romania
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2022年 / 21卷 / 03期
关键词：
Fractional q-differential equations; Fixed point theorem; Erdelyi-Kober q-fractional integral conditions; Green function; Ulam-Hyers stability; STABILITY; EXISTENCE;
D O I：
10.1007/s12346-022-00623-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This manuscript aims to present the existence, uniqueness, and various kinds of Ulam's stability for the solution of the implicit q-fractional differential equation corresponding to nonlocal Erdelyi-Kober q-fractional integral conditions. We use different fixed point theorems to obtain the existence and uniqueness of solution. For stability, we utilize the classical technique of nonlinear functional analysis. The examples are presented as applications to illustrate the main results.
引用
收藏
页数：39
相关论文
共 50 条
  • [31] Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach
    Butt, Rabia Ilyas
    Abdeljawad, Thabet
    Alqudah, Manar A.
    Rehman, Mujeeb Ur
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [32] q-fractional differential equations with uncertainty
    Z. Noeiaghdam
    T. Allahviranloo
    Juan J. Nieto
    Soft Computing, 2019, 23 : 9507 - 9524
  • [33] ON SOME FRACTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH ERDELYI-KOBER FRACTIONAL INTEGRAL BOUNDARY CONDITIONS
    Cernea, Aurelian
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2020, 79 : 15 - 26
  • [34] Existence results for coupled differential equations of non-integer order with Riemann-Liouville, Erdelyi-Kober integral conditions
    Baleanu, Dumitru
    Hemalatha, S.
    Duraisamy, P.
    Pandiyan, P.
    Muthaiah, Subramanian
    AIMS MATHEMATICS, 2021, 6 (12): : 13004 - 13023
  • [35] q-fractional integral operators with two parameters
    Ismail, Mourad E. H.
    Zhou, Keru
    ADVANCES IN APPLIED MATHEMATICS, 2024, 154
  • [36] Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach
    Rabia Ilyas Butt
    Thabet Abdeljawad
    Manar A. Alqudah
    Mujeeb ur Rehman
    Journal of Inequalities and Applications, 2019
  • [37] SPECTRAL ANALYSIS OF q-FRACTIONAL STURM-LIOUVILLE OPERATORS
    Allahverdiev, Bilender P.
    Tuna, Huseyin
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [38] Nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions
    Weera Yukunthorn
    Sotiris K Ntouyas
    Jessada Tariboon
    Advances in Difference Equations, 2014
  • [39] Nonlinear fractional Caputo-Langevin equation with nonlocal Riemann-Liouville fractional integral conditions
    Yukunthorn, Weera
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [40] Hilfer fractional differential inclusions with Erdelyi-Kober fractional integral boundary condition
    Lachouri, Adel
    Abdo, Mohammed S.
    Ardjouni, Abdelouaheb
    Abdalla, Bahaaeldin
    Abdeljawad, Thabet
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
12345