Qualitative Aspects of a Fractional-Order Integro-Differential Equation with a Quadratic Functional Integro-Differential Constraint

被引：4
|
作者：
El-Sayed, Ahmed M. A. [1 ]
Alhamali, Antisar A. A. [2 ]
Hamdallah, Eman M. A. [1 ]
Ebead, Hanaa R. [1 ]
机构：
[1] Alexandria Univ, Fac Sci, Alexandria 21521, Egypt
[2] Al Zaytoonah Univ, Fac Sci, Bani Walid 38645, Libya
来源：
FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 12期
关键词：
constrained problem; functional integro-differential equation; fractional order; Schauder fixed-point theorem; continuous dependence; POSITIVE PERIODIC-SOLUTIONS; INTEGRAL-EQUATIONS; FEEDBACK-CONTROL; DELAY; MODELS;
D O I：
10.3390/fractalfract7120835
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This manuscript investigates a constrained problem of an arbitrary (fractional) order quadratic functional integro-differential equation with a quadratic functional integro-differential constraint. We demonstrate that there is at least one solution x is an element of C[0,T] to the problem. Moreover, we outline the necessary demands for the solution's uniqueness. In addition, the continuous dependence of the solution and the Hyers-Ulam stability of the problem are analyzed. In order to illustrate our results, we provide some particular cases and instances.
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页数：16
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