Theoretical Analysis for a System of Nonlinear φ-Hilfer Fractional Volterra-Fredholm Integro-differential Equations

被引：0

作者：

Hamoud, Ahmed A. ^{[1
]}

Mohammed, Nedal M. ^{[1
]}

Shah, Rasool ^{[2
]}

机构：

[1] Taiz Univ, Dept Math & Comp Sci, Taizi 96704, Yemen

[2] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2023年 / 16卷 / 02期

关键词：

phi-Hilfer fractional Volterra-Fredholm integro-differential equation; Kummer's stability; Arzela-Ascoli theorem; Krasnoselskii fixed point theorem; LINEAR-DIFFERENTIAL EQUATIONS; HYERS-ULAM STABILITY; FIXED-POINT THEOREM; EXISTENCE; 1ST-ORDER;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the existence of solutions for a system of nonlinear phi-Hilfer fractional Volterra- Fredholm integro-differential equations with fractional integral conditions, by using the Krasnoselskii's fixed point theorem and Arzela-Ascoli theorem. Moreover, applying an alternative fixed point theorem due to Diaz and Margolis, we prove the Kummer stability of the system on the compact domains. An example is also presented to illustrate our results.

引用

页码：216 / 229

页数：14

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