IMPLICIT FRACTIONAL DIFFERENTIAL EQUATION INVOLVING ψ-CAPUTO WITH BOUNDARY CONDITIONS

被引：0
|
作者：
Abdellatif, Boutiara [1 ]
Benbachir, Maamar [2 ]
机构：
[1] Univ Ghardaia, Lab Math & Appl Sci, Ghardaia 47000, Algeria
[2] Saad Dahlab Univ, Fac Sci, Blida, Algeria
来源：
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2021年 / 16卷 / 01期
关键词：
Implicit fractional differential equations; psi-Caputo fractional derivative; fractional psi-integral; Ulam-Hyers stability; Boundary value problem; fixed point theorem; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE; STABILITY; RESPECT;
D O I：
10.21915/BIMAS.2021101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this research article, we discuss the existence results and uniqueness of solutions for a class of boundary value problems of fractional differential equations with the psi-Caputo fractional derivative. The reasoning is mainly based upon different types of classical fixed point theory such as the Banach contraction principle and Krasnoselskii's fixed point theorem. Besides, the Ulam-Hyers result is addressed for the proposed problem. We illustrate our main findings, with a particular case example included to show the applicability of our outcomes.
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页码：1 / 19
页数：19
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