EXISTENCE AND UNIQUENESS RESULTS OF BOUNDARY VALUE PROBLEMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING Ψ-CAPUTO-TYPE FRACTIONAL DERIVATIVES

被引：0
|
作者：
El Mfadel, A. [1 ]
Melliani, S. [2 ]
Elomari, M. [2 ]
机构：
[1] Sultan Moulay Slimane Univ, Super Sch Technol, Lab Appl Math & Sci Comp, Khenifra, Morocco
[2] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp, Beni Mellal, Morocco
来源：
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2023年 / 92卷 / 01期
关键词：
Psi-fractional integral; Psi-Caputo fractional derivative; fractional boundary problem; fixed point; RESPECT;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main crux of this manuscript is to establish some new sufficient conditions for the existence of solutions to a class of boundary value problem for nonlinear fractional differential equations with Psi-Caputo fractional derivatives of order beta is an element of (2; 3). The proofs are based on some fixed point theorems and some basic concepts of Psi-fractional analysis. As application, several examples are given to illustrate our theoretical results.
引用
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页码：23 / 33
页数：11
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