Solvability of a q-fractional integral equation arising in the study of an epidemic model

被引：0
|
作者：
Mohamed Jleli
Bessem Samet
机构：
[1] King Saud University,Department of Mathematics, College of Science
来源：
Advances in Difference Equations | / 2017卷
关键词：
epidemic model; -calculus; fractional order; measure of noncompactness; 62P10; 26A33; 45G10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the solvability of a functional equation involving q-fractional integrals. Such an equation arises in the study of the spread of an infectious disease that does not induce permanent immunity. Our method is based on the noncompactness measure argument in a Banach algebra and an extension of Darbo’s fixed point theorem.
引用
收藏
相关论文
共 50 条
  • [1] Solvability of a q-fractional integral equation arising in the study of an epidemic model
    Jleli, Mohamed
    Samet, Bessem
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [2] q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions
    Wang, Wuyang
    Khalid, Khansa Hina
    Zada, Akbar
    Ben Moussa, Sana
    Ye, Jun
    MATHEMATICS, 2023, 11 (09)
  • [3] On Functional Equation Mixed q-Fractional Integral and Fractional Derivative with q-Integral Condition
    Ahmed, Reda Gamal
    El-Sayed, Ahmed M. A.
    Alrashdi, Muhanna Ali H.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2025, 23
  • [4] Solvability of a fractional functional equation arising in some epidemic models
    Sadarangani, Kishin
    Samet, Bessem
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 1767 - 1785
  • [5] Study of New Class of q-Fractional Integral Operator
    Momenzadeh, M.
    Mahmudov, N. I.
    FILOMAT, 2019, 33 (17) : 5713 - 5721
  • [6] q-fractional functional integro-differential equation with q-integral condition
    Ahmed, Reda Gamal
    Abd El-Salam, Sheren A.
    El-Sayed, A. M. A.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 29 (02): : 167 - 174
  • [7] Analysis of Q-Fractional Implicit Differential Equation with Nonlocal Riemann–Liouville and Erdélyi-Kober Q-Fractional Integral Conditions
    Akbar Zada
    Mehboob Alam
    Khansa Hina Khalid
    Ramsha Iqbal
    Ioan-Lucian Popa
    Qualitative Theory of Dynamical Systems, 2022, 21
  • [8] Analysis of Q-Fractional Implicit Differential Equation with Nonlocal Riemann-Liouville and Erdelyi-Kober Q-Fractional Integral Conditions
    Zada, Akbar
    Alam, Mehboob
    Khalid, Khansa Hina
    Iqbal, Ramsha
    Popa, Ioan-Lucian
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (03)
  • [9] Analysis of coupled system of q-fractional Langevin differential equations with q-fractional integral conditions
    Zhang, Keyu
    Khalid, Khansa Hina
    Zada, Akbar
    Popa, Ioan-Lucian
    Xu, Jiafa
    Kallekh, Afef
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (10) : 8135 - 8159
  • [10] Extension of q-fractional integral and derivative operator and study of their properties
    Momenzadeh, Mohammad
    THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019), 2019, 2183
12345