THE APPLICATION OF MEIR-KEELER CONDENSING OPERATORS TO A NEW CLASS OF FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVE

被引：5

作者：

Baitiche, Zidane ^{[1
]}

Derbazi, Choukri ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Cabada, Alberto ^{[3
]}

机构：

[1] Univ Ghardaia, Lab Math & Appl Sci, Ghardaia, Algeria

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

[3] Univ Santiago De Compostela, Inst Matemat, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela, Spain

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2021年 / 5卷 / 04期

关键词：

psi-Caputo fractional derivative; Dirichlet boundary conditions; Meir-Keeler condensing op- erators; Fixed point theorem; Measures of noncompactness; NONCOMPACTNESS; RESPECT; STABILITY; EXISTENCE;

D O I：

10.23952/jnva.5.2021.4.05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of solutions for a new class of nonlinear differential equations involving the psi-Caputo fractional derivative with Dirichlet boundary conditions in Banach spaces. Our approach is based on a new fixed point theorem with respect to Meir-Keeler condensing operators. Two illustrative examples are also given in support of our existence results.

引用

页码：561 / +

页数：13

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