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

Document Type : Research Paper

Authors

1 Department of Mathematics, Dr. Lankapalli Bullayya College of Engineering, Resapuvanipalem, Visakhapatnam, 530013, Andhra Pradesh, India.

2 Department of Mathematics, Ecole Normale Sup\'{e}rieure, Taleb Abderrahmane de Laghouat, 03000 Laghouat, Algeria.

3 Department of Applied Mathematics, Andhra University, Visakhapatnam, 530003, India.

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.

Keywords

References

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Computational Methods for Differential Equations
Volume 12, Issue 1
January 2024
Pages 100-116

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History

  • Receive Date: 31 August 2022
  • Revise Date: 01 January 2023
  • Accept Date: 12 June 2023

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