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
  • [41] HARDY TYPE INEQUALITIES FOR FRACTIONAL AND q-FRACTIONAL INTEGRAL OPERATORS
    Bouzaffour, Fethi
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (02): : 601 - 609
  • [42] Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
    Ahmad, Bashir
    Nieto, Juan J.
    BOUNDARY VALUE PROBLEMS, 2011, : 1 - 9
  • [43] Positive solutions for fractional differential systems with nonlocal Riemann-Liouville fractional integral boundary conditions
    Neamprem, Khomsan
    Muensawat, Thanadon
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    POSITIVITY, 2017, 21 (03) : 825 - 845
  • [44] Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
    Bashir Ahmad
    Juan J Nieto
    Boundary Value Problems, 2011
  • [45] Certain Inequalities Involving Generalized Erdelyi-Kober Fractional q-Integral Operators
    Agarwal, Praveen
    Salahshour, Soheil
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [46] Analysis of nonlinear integral equations with Erdelyi-Kober fractional operator
    Wang, JinRong
    Dong, XiWang
    Zhou, Yong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (08) : 3129 - 3139
  • [47] On a quadratic integral equation with supremum involving Erdelyi-Kober fractional order
    Darwish, Mohamed Abdalla
    Sadarangani, Kishin
    MATHEMATISCHE NACHRICHTEN, 2015, 288 (5-6) : 566 - 576
  • [48] A remark on the q-fractional order differential equations
    Tang, Yongchao
    Zhang, Tie
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 350 : 198 - 208
  • [49] Riemann-Liouville fractional differential equations with Hadamard fractional integral conditions
    Tariboon, Jessada
    Ntouyas, Sotiris K.
    Thiramanus, Phollakrit
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2016, 54 (01): : 119 - 134
  • [50] Solvability of a q-fractional integral equation arising in the study of an epidemic model
    Mohamed Jleli
    Bessem Samet
    Advances in Difference Equations, 2017
12345