Darboux problem for fractional partial hyperbolic differential inclusions on unbounded domains with delay

被引：0

作者：

Helal, Mohamed ^{[1
,2
]}

机构：

[1] Mustapha Stambouli Univ Mascara, Sci & Technol Fac, BP 763, Mascara 29000, Algeria

[2] Djillali Liabes Univ Sidi Bel Abbes, BP 89, Sidi Bel Abbes 22000, Algeria

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2022年 / 67卷 / 04期

关键词：

Partial functional differential inclusion; fractional order; solution; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; finite delay; Frechet space; fixed point;

D O I：

10.24193/subbmath.2022.4.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate the existence of solutions of initial value problems (IVP for short), for partial hyperbolic functional and neutral differential inclusions of fractional order involving Caputo fractional derivative with finite delay by using the nonlinear alternative of Frigon type for multivalued admissible contraction in Frechet spaces.

引用

页码：703 / 716

页数：14

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