Boundary Value Problem for ψ-Caputo Fractional Differential Equations in Banach Spaces via Densifiability Techniques

被引：5

作者：

Derbazi, Choukri ^{[1
]}

Baitiche, Zidane ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Zhou, Yong ^{[3
,4
]}

机构：

[1] Freres Mentouri Univ Constantine 1, Fac Exact Sci, Dept Math, Lab Equat Differentielles, POB 325,Ain El Bey Way, Constantine 25017, Algeria

[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, Sidi Bel Abbes 22000, Algeria

[3] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Peoples R China

[4] King Abdulaziz Univ, Fac Sci, NAAM Res Grp, Jeddah 21589, Saudi Arabia

来源：

MATHEMATICS | 2022年 / 10卷 / 01期

关键词：

fractional differential equations; psi-Caputo fractional derivative; existence; fixed point; degree of nondensifiability; Banach spaces; NONDENSIFIABILITY; EXISTENCE; SYSTEMS; THEOREM; ORDER;

D O I：

10.3390/math10010153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A novel fixed-point theorem based on the degree of nondensifiability (DND) is used in this article to examine the existence of solutions to a boundary value problem containing the psi-Caputo fractional derivative in Banach spaces. Besides that, an example is included to verify our main results. Moreover, the outcomes obtained in this research paper ameliorate and expand some previous findings in this area.

引用

页数：9

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[2]

Abbas S., 2012, Topics in fractional differential equations, DOI DOI 10.1007/978-1-4614-4036-9

[3]

ABBAS S., 2015, Advanced Fractional Differential and Integral Equations

[4] CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES [J].