The existence, uniqueness, and stability analyses of the generalized Caputo-type fractional boundary value problems

被引：17

作者：

Poovarasan, R. ^{[1
]}

Kumar, Pushpendra ^{[2
]}

Nisar, Kottakkaran Sooppy ^{[3
,4
]}

Govindaraj, V. ^{[1
]}

机构：

[1] Natl Inst Technol Puducherry, Dept Math, Karaikal 609609, India

[2] Univ Johannesburg, Inst Future Knowledge, POB 524, ZA-2006 Auckland Pk, South Africa

[3] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia

[4] Woxsen Univ Hyderabad, Sch Technol, Hyderabad 502345, Telangana, India

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 07期

关键词：

generalized Caputo derivative; fractional boundary value problem; existence; uniqueness; Ulam-Hyers stability; INITIAL-VALUE PROBLEMS;

D O I：

10.3934/math.2023857

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we derive some novel results of the existence, uniqueness, and stability of the solution of generalized Caputo-type fractional boundary value problems (FBVPs). The Banach contraction principle, along with necessary features of fixed point theory, is used to establish our results. An example is illustrated to justify the validity of the theoretical observations.

引用

页码：16757 / 16772

页数：16

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