System of boundary random fractional differential equations via Hadamard derivative

被引：3

作者：

Malki, Zakaria ^{[1
]}

Berhoun, Farida ^{[1
]}

Ouahab, Abdelghani ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, BP 89 22000, Sidi Bel Abbes, Algeria

来源：

ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA | 2021年 / 20卷 / 01期

关键词：

Random fractional differential equation; Hadamard fractional differential equation; existence; fixed point; vector metric space; EXISTENCE;

D O I：

10.2478/aupcsm-2021-0002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of solutions for random system of fractional differential equations with boundary nonlocal initial conditions. Our approach is based on random fixed point principles of Schaefer and Perov, combined with a vector approach that uses matrices that converge to zero. We prove existence and uniqueness results for these systems. Some examples are presented to illustrate the theory.

引用

页码：17 / 41

页数：25

共 26 条

[1] [Anonymous], 2012, TOPICS FRACTIONAL DI, DOI DOI 10.1007/978-1-4614-4036-9
[2] [Anonymous], 2012, FRACTIONAL CALCULUS, DOI 10.1142/8180
[3] Bahya R, 2021, MEM DIFFER EQU MATH, V82, P1
[4] Existence and uniqueness of solutions for a system of impulsive differential equations on the half-line
Berrezoug H.
Henderson J.
Ouahab A.
[J]. Journal of Nonlinear Functional Analysis, 2017, 2017
[5] Bharucha-Reid, 2012, RANDOM INTEGRAL EQUA
[6] Existence results for systems with coupled nonlocal initial conditions
Bolojan-Nica, Octavia
Infante, Gennaro
Precup, Radu
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 94 : 231 - 242
[7] Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
Deng, Jiqin
Ma, Lifeng
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (06) : 676 - 680
[8] Graef JR, 2019, ACTA MATH UNIV COMEN, V88, P51
[9] Graef J. R., 2019, Monographs and Research Notes in Mathematics Series Profile
[10] Caputo-type modification of the Hadamard fractional derivatives
Jarad, Fahd
Abdeljawad, Thabet
Baleanu, Dumitru
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,

← 1 2 3 →