Study of a sequential ?-Hilfer fractional integro-differential equations with nonlocal BCs

被引：0

作者：

Haddouchi, Faouzi ^{[1
,2
]}

Samei, Mohammad Esmael ^{[3
]}

Rezapour, Shahram ^{[4
,5
,6
]}

机构：

[1] Univ Sci & Technol Oran MB, Dept Phys, Oran, Algeria

[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Oran, Algeria

[3] Bu Ali Sina Univ, Fac Basic Sci, Dept Math, Hamadan 6517838695, Hamadan, Iran

[4] Kyuing Hee Univ, Dept Math, 26 Kyungheedae Ro, Seoul, South Korea

[5] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[6] China Med Univ, Dept Med Res, China Med Univ Hosp, Taichung, Taiwan

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2023年 / 14卷 / 04期

关键词：

-Hilfer fractional derivative; Nonlocal conditions; Existence and uniqueness; Kuratowski measure of noncompactness; Stability; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTIONS; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS; STABILITY; THEOREM;

D O I：

10.1007/s11868-023-00555-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence and uniqueness of solutions for a nonlinear boundary value problem involving a sequential ?-Hilfer fractional integro-differential equations with nonlocal boundary conditions. The existence and uniqueness of solutions are established for the considered problem by using the Banach contraction principle, Sadovski's fixed point theorem, and Krasnoselskii-Schaefer fixed point theorem due to Burton and Kirk. In addition, the Ulam-Hyers stability of solutions is discussed. Finally, the obtained results are illustrated by examples.

引用

页数：46

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