q-fractional functional integro-differential equation with q-integral condition

被引:1
|
作者
Ahmed, Reda Gamal [1 ]
Abd El-Salam, Sheren A. [2 ]
El-Sayed, A. M. A. [3 ]
机构
[1] Al Azhar Univ, Fac Sci, Cairo 11884, Egypt
[2] Damanhour Univ, Fac Sci, Damanhour 22511, Egypt
[3] Alexandria Univ, Fac Sci, Alexandria 21544, Egypt
来源
关键词
Functional equations; existence of solutions; continuous dependence; q-calculus;
D O I
10.22436/jmcs.029.02.06
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the existence and the uniqueness of the solution of the non-local problems of q-fractional functional integro-differential equation with non-local q-integral condition. The continuous dependence of the solution will be studied. Two examples will be given to illustrate results. (c) 2023 All rights reserved.
引用
收藏
页码:167 / 174
页数:8
相关论文
共 50 条
  • [31] Qualitative Aspects of a Fractional-Order Integro-Differential Equation with a Quadratic Functional Integro-Differential Constraint
    El-Sayed, Ahmed M. A.
    Alhamali, Antisar A. A.
    Hamdallah, Eman M. A.
    Ebead, Hanaa R.
    FRACTAL AND FRACTIONAL, 2023, 7 (12)
  • [32] Existence of Solution to a Quadratic Functional Integro-Differential Fractional Equation
    Karande, B. D.
    Kondekar, S. N.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2020, 11 (04): : 635 - 650
  • [33] Fractional Order Functional Integro-Differential Equation in Banach Algebras
    Karande, B. D.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2014, 8 : 1 - 16
  • [34] A SINGULAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION
    Shabibi, M.
    Rezapour, Sh.
    Vaezpour, S. M.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (01): : 109 - 118
  • [35] Reconstructing a fractional integro-differential equation
    Boumenir, Amin
    Kim Tuan, Vu
    Al-Khulaifi, Waled
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (04) : 3159 - 3166
  • [36] A singular fractional integro-differential equation
    Shabibi, M.
    Rezapour, Sh.
    Vaezpour, S.M.
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2017, 79 (01): : 109 - 118
  • [37] 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)
  • [38] On the existence of a local solution for an integro-differential equation with an integral boundary condition
    Boumaza, Nouri
    Gheraibia, Billel
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 521 - 534
  • [39] On the existence of a local solution for an integro-differential equation with an integral boundary condition
    Nouri Boumaza
    Billel Gheraibia
    Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 521 - 534
  • [40] q-Integral Transforms for Solving Fractional q-Difference Equations
    Ismail, Mourad
    Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : 271 - 293