System of boundary random fractional differential equations via Hadamard derivative

Zakaria Malki; Farida Berhoun; Abdelghani Ouahab

System of boundary random fractional differential equations via Hadamard derivative

Zakaria Malki, Farida Berhoun, Abdelghani Ouahab

Source

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica > 2021 > 20 > 17-41

Abstract

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.

Identifiers

journal ISSN :

2300-133X

Authors

Zakaria Malki

Laboratoire de Mathématiques, Université de Sidi Bel-Abbès

Farida Berhoun

Laboratoire de Mathématiques, Université de Sidi Bel-Abbès

Abdelghani Ouahab

Laboratoire de Mathématiques, Université de Sidi Bel-Abbès

Keywords

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

Additional information

Publication languages: English

Data set: DML

Publisher

Wydawnictwo Naukowe Uniwersytetu Pedagogicznego

Fields of science

No field of science has been suggested yet.

Bibliography

Abbas, Saïd, Mouffak Benchohra, and Gaston Mandata N’Guérékata. Topics in fractional differential equations. New York: Springer, 2012.
Bahya, Roummani, and Johnny Henderson, and Abdeghani Ouahab. "Existence and solution sets for systems of impulsive differential inclusions" Mem. Differ. Equ. Math. Phys. 82 (2021): 1-37.
Berrezoug, Halimi, and Johnny Henderson, and Abdelghani Ouahab. "Existence and uniqueness of solutions for a system of impulsive differential equations on the half-line." Journal of Nonlinear Functional Analysis 2017 (2017): Article ID 38.

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Zakaria Malki

Farida Berhoun

Abdelghani Ouahab

Keywords

Additional information

Publisher

Fields of science

Fields of science

Bibliography

Abbas, Saïd, Mouffak Benchohra, and Gaston Mandata N’Guérékata. Topics in fractional differential equations. New York: Springer, 2012.

Bahya, Roummani, and Johnny Henderson, and Abdeghani Ouahab. "Existence and solution sets for systems of impulsive differential inclusions" Mem. Differ. Equ. Math. Phys. 82 (2021): 1-37.

Berrezoug, Halimi, and Johnny Henderson, and Abdelghani Ouahab. "Existence and uniqueness of solutions for a system of impulsive differential equations on the half-line." Journal of Nonlinear Functional Analysis 2017 (2017): Article ID 38.

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System of boundary random fractional differential equations via Hadamard derivative