Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces

被引：58

作者：

Boutiara, Abdellatif ^{[1
]}

Guerbati, Kaddour ^{[1
]}

Benbachir, Maamar ^{[2
]}

机构：

[1] Univ Ghardaia, Aboratory Math & Appl Sci, Bounoura 47000, Algeria

[2] Saad Dahlab Univ, Fac Sci & Technol, Blida, Algeria

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 01期

关键词：

fractional differential equation; fractional integral conditions; Caputo-Hadamard fractional derivative; Kuratowski measures of noncompactness; Monch fixed point theorems; Banach space; CHEBYSHEV CARDINAL WAVELETS; UNIQUENESS; EXISTENCE;

D O I：

10.3934/math.2020017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a more general class of fractional-order boundary value problems involving the Caputo-Hadamard fractional derivative. Existence results for the given problem are established by applying the Monch's fixed point theorem and the technique of measures of noncompactness. an example is given to illustrate our results. The boundary conditions introduced in this work are of quite general nature and reduce to many special cases by fixing the parameters involved in the conditions.

引用

页码：259 / 272

页数：14

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