Existence and stability results for fractional-order pantograph differential equations involving Riemann-Liouville and Caputo fractional operators

被引:0
作者
Mohamed Houas
Amita Devi
Anoop Kumar
机构
[1] Khemis Miliana University,Laboratory FIMA, UDBKM
[2] Ain Defla,Department of Mathematics and Statistics
[3] Central University of Punjab,undefined
来源
International Journal of Dynamics and Control | 2023年 / 11卷
关键词
Fractional derivative; Fixed point; Existence; Fractional pantograph equation; Ulam-Hyers stability; 34A08; 39A30; 37C25;
D O I
暂无
中图分类号
学科分类号
摘要
In this present manuscript, the existence and uniqueness of solution for fractional-order pantograph differential equations with Riemann-Liouville and Caputo fractional operators are investigated by using Banach’s fixed point and Leray-Schauder’s alternative. Also, the Ulam- stability results are obtained. An illustrative example is also presented.
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页码:1386 / 1395
页数:9
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