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

Publish place: Computational Methods for Differential Equations، Vol: 12، Issue: 1
Publish Year: 1403
Type: Journal paper
Language: English
View: 153

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Link to this Paper:
https://civilica.com/doc/1830779

Document National Code:

JR_CMDE-12-1_009

Index date: 25 November 2023

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

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.

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

Coupled fractional differential systems , Random variable , Hilfer fractional derivatives , Nonlocal conditions , fixed point theorem , Ulam-Hyers stability

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

Khuddush Mahammad

Department of Mathematics, Dr. Lankapalli Bullayya College of Engineering, Resapuvanipalem, Visakhapatnam, ۵۳۰۰۱۳, Andhra Pradesh, India.

Mohammed Benyoub

Department of Mathematics, Ecole Normale Sup\'{e}rieure, Taleb Abderrahmane de Laghouat, ۰۳۰۰۰ Laghouat, Algeria.

Sarmila Kathun

Department of Applied Mathematics, Andhra University, Visakhapatnam, ۵۳۰۰۰۳, India.