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.
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页数：46
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