On the Existence and Uniqueness Results for Fuzzy Fractional Boundary Value Problem Involving Caputo Fractional Derivative

被引：1

作者：

El Ghazouani, Aziz ^{[1
]}

Amir, Fouad Ibrahim Abdou ^{[1
]}

Elomari, M'hamed ^{[1
]}

Melliani, Said ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab Appl Math Sci Calculus, BP 523, Beni Mellal 23000, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2024年 / 42卷

关键词：

Fuzzy Metric Spaces; generalized Derivatives; generalized fractional Caputo derivatives; Green's function; fixed point theorem; INTERVAL;

D O I：

10.5269/bspm.65454

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence and uniqueness of solutions for fuzzy boundary value problems involving fuzzy Caputo fractional derivatives of order q is an element of (2 , 3). As a preliminary step, we construct a generic structure of the solution associated with our proposed model by utilizing the Green's function. We establish the existence of a unique solution of the proposed model paired with the given initial conditions by using Banach fixed point theorem. At last, as application, an illustrative example is given to show the applicability of our theoritical results.

引用

页数：21

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