Existence and Mittag-Leffler-Ulam-stability results of sequential fractional hybrid pantograph equations

被引：4

作者：

Houas, Mohamed ^{[1
]}

Abbas, Mohamed I. ^{[2
]}

Martinez, Francisco ^{[3
]}

机构：

[1] Khemis Miliana Univ, Lab FIMA, UDBKM, Ain Defla, Algeria

[2] Alexandria Univ, Fac Sci, Dept Math & Comp Sci, Alexandria 21511, Egypt

[3] Technol Univ Cartagena, Dept Appl Math & Stat, Cartagena 30203, Spain

来源：

FILOMAT | 2023年 / 37卷 / 20期

关键词：

Fractional derivative; Fixed point; Existence; Fractional pantograph equation; Mittag-Leffler-Ulam stability;

D O I：

10.2298/FIL2320891H

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this present work, the existence and uniqueness of solutions for fractional pantograph differential equations involving Riemann-Liouville and Caputo fractional derivatives are established by applying contraction mapping principle and Leray-Schauder's alternative. The Mittag-Leffler-Ulam stability results are also obtained via generalized singular Gronwall's inequality. Finally, we give an illustrative example.

引用

页码：6891 / 6903

页数：13

共 4 条

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[2]

Abbas MI, 2015, EUR J PURE APPL MATH, V8, P478

[3] Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions [J].

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[4]

Ali G., 2021, INT J APPL COMPUT MA, V7, P2, DOI [10.1007/s40819-020-00932-0, DOI 10.1007/S40819-020-00932-0]

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