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Mahammad, Khuddush, Benyoub, Mohammed, Kathun, Sarmila. (1403). Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions. سامانه مدیریت نشریات علمی, 12(1), 100-116. doi: 10.22034/cmde.2023.53235.2246
Khuddush Mahammad; Mohammed Benyoub; Sarmila Kathun. "Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions". سامانه مدیریت نشریات علمی, 12, 1, 1403, 100-116. doi: 10.22034/cmde.2023.53235.2246
Mahammad, Khuddush, Benyoub, Mohammed, Kathun, Sarmila. (1403). 'Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions', سامانه مدیریت نشریات علمی, 12(1), pp. 100-116. doi: 10.22034/cmde.2023.53235.2246
Mahammad, Khuddush, Benyoub, Mohammed, Kathun, Sarmila. Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions. سامانه مدیریت نشریات علمی, 1403; 12(1): 100-116. doi: 10.22034/cmde.2023.53235.2246

Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions

Computational Methods for Differential Equations
مقاله 9، دوره 12، شماره 1، فروردین 2024، صفحه 100-116    اصل مقاله (381.91 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.53235.2246
نویسندگان
Khuddush Mahammad* 1؛ Mohammed Benyoub2؛ Sarmila Kathun3
1Department of Mathematics, Dr. Lankapalli Bullayya College of Engineering, Resapuvanipalem, Visakhapatnam, 530013, Andhra Pradesh, India.
2Department of Mathematics, Ecole Normale Sup\'{e}rieure, Taleb Abderrahmane de Laghouat, 03000 Laghouat, Algeria.
3Department of Applied Mathematics, Andhra University, Visakhapatnam, 530003, India.
چکیده
In this paper, the existence, uniqueness, compactness, and stability of a coupled random differential equations involving the Hilfer fractional derivatives with nonlocal boundary conditions are discussed. Arguments are discussed via some random fixed point theorems in a separable vector Banach spaces and Ulam type stability. Some examples are presented to ensure the abstract results.
کلیدواژه‌ها
Coupled fractional differential systems؛ Random variable؛ Hilfer fractional derivatives؛ Nonlocal conditions؛ Fixed point theorem؛ Ulam-Hyers stability
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