On Nonlinear ψ-Caputo Fractional Integro Differential Equations Involving Non-Instantaneous Conditions

被引：7

作者：

Arul, Ramasamy ^{[1
]}

Karthikeyan, Panjayan ^{[2
]}

Karthikeyan, Kulandhaivel ^{[3
]}

Geetha, Palanisamy ^{[3
]}

Alruwaily, Ymnah ^{[4
]}

Almaghamsi, Lamya ^{[5
]}

El-hady, El-sayed ^{[4
,6
]}

机构：

[1] Gnanamani Coll Technol, Dept Math, Namakkal 637018, Tamil Nadu, India

[2] Sri Vasavi Coll, Dept Math, Erode 638316, Tamil Nadu, India

[3] KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India

[4] Jouf Univ, Coll Sci, Math Dept, POB 2014, Sakaka 72388, Saudi Arabia

[5] Univ Jeddah, Coll Sci, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia

[6] Suez Canal Univ, Fac Comp & Informat, Basic Sci Dept, Ismailia 41522, Egypt

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 01期

关键词：

fractional differential equations; Caputo fractional derivative; fractional boundary conditions; existence and uniqueness; FIXED-POINT THEOREM;

D O I：

10.3390/sym15010005

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We propose a solution to the symmetric nonlinear psi-Caputo fractional integro differential equations involving non-instantaneous impulsive boundary conditions. We investigate the existence and uniqueness of the solution for the proposed problem. Banach contraction theorem is employed to prove the uniqueness results, while Krasnoselkii's fixed point technique is used to prove the existence results. Additionally, an example is used to explain the results. In this manner, our results represent generalized versions of some recent interesting contributions.

引用

页数：11

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