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：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2023年 / 29卷 / 02期

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

页码：167 / 174

页数：8

共 50 条

[41] 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
[42] Fractional q-integrodifference equations and inclusions with nonlocal fractional q-integral conditions
Ntouyas, Sotiris K.
Tariboon, Jessada
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (04) : 647 - 665
[43] HARDY TYPE INEQUALITIES FOR FRACTIONAL AND q-FRACTIONAL INTEGRAL OPERATORS
Bouzaffour, Fethi
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (02): : 601 - 609
[44] A remark on the q-fractional order differential equations
Tang, Yongchao
Zhang, Tie
APPLIED MATHEMATICS AND COMPUTATION, 2019, 350 : 198 - 208
[45] Study of New Class of q-Fractional Integral Operator
Momenzadeh, M.
Mahmudov, N. I.
FILOMAT, 2019, 33 (17) : 5713 - 5721
[46] Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition
Chauhan, Archana
Dabas, Jaydev
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (04) : 821 - 829
[47] New algorithm for the numerical solution of the integro-differential equation with an integral boundary condition
Huanmin Yao
Journal of Mathematical Chemistry, 2010, 47 : 1054 - 1067
[48] Solving Integro-differential Equation with an Integral Boundary Condition Using the Reproducing Kernel
Sayevand K.
Jafarian H.
International Journal of Applied and Computational Mathematics, 2017, 3 (Suppl 1) : 1425 - 1433
[49] Asymptotics of solutions of an integro-differential and an integral equation
M. S. Sgibnev
Differential Equations, 2006, 42 : 1291 - 1301
[50] Certain Inequalities Involving the Fractional q-Integral Operators
Baleanu, Dumitru
Agarwal, Praveen
ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →