On a novel impulsive boundary value pantograph problem under Caputo proportional fractional derivative operator with respect to another function

被引：4

作者：

Pleumpreedaporn, Songkran ^{[1
]}

Pleumpreedaporn, Chanidaporn ^{[1
]}

Sudsutad, Weerawat ^{[2
]}

Kongson, Jutarat ^{[3
,4
]}

Thaiprayoon, Chatthai ^{[3
,4
]}

Alzabut, Jehad ^{[5
,6
]}

机构：

[1] Rambhai Barni Rajabhat Univ, Fac Sci & Technol, Dept Math, Chanthaburi 22000, Thailand

[2] Ramkhamhang Univ, Fac Sci, Dept Stat, Bangkok 10240, Thailand

[3] Burapha Univ, Fac Sci, Dept Math, Chon Buri 20131, Thailand

[4] CHE, Ctr Excellence Math, Sri Ayutthaya Rd, Bangkok 10400, Thailand

[5] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

[6] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkey

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 05期

关键词：

existence and uniqueness; fractional differential equations; fixed point theorems; impulsive conditions; Ulam-Hyers stability; NUMERICAL-SOLUTION; STABILITY; EQUATIONS;

D O I：

10.3934/math.2022438

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, we study the existence and Ulam's stability results for impulsive multiorder Caputo proportional fractional pantograph differential equations equipped with boundary and integral conditions with respect to another function. The uniqueness result is proved via Banach's fixed point theorem, and the existence results are based on Schaefer's fixed point theorem. In addition, the Ulam-Hyers stability and Ulam-Hyers-Rassias stability of the proposed problem are obtained by applying the nonlinear functional analysis technique. Finally, numerical examples are provided to supplement the applicability of the acquired theoretical results.

引用

页码：7817 / 7846

页数：30

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