On ψ-Hilfer Fractional Integro-Differential Equations with Non-Instantaneous Impulsive Conditions

被引：5

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, Tamilnadu, 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：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 12期

关键词：

fractional differential equations; Hilfer fractional integro-differential equations; fractional boundary conditions; existence and uniqueness; BOUNDARY-VALUE-PROBLEMS; FIXED-POINT THEOREM; EXISTENCE; STABILITY; INCLUSIONS;

D O I：

10.3390/fractalfract6120732

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish sufficient conditions for the existence of solutions of an integral boundary value problem for a psi-Hilfer fractional integro-differential equations with non-instantaneous impulsive conditions. The main results are proved with a suitable fixed point theorem. An example is given to interpret the theoretical results. In this way, we generalize recent interesting results.

引用

页数：11

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