Successive approximations for random coupled Hilfer fractional differential systems

In this paper, we study the global convergence of successive approximations as well as the uniqueness of the random solution of a coupled random Hilfer fractional differential system. We prove a theorem on the global convergence of successive approximations to the unique solution of our problem. In...

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Bibliographic Details
Published inArabian Journal of Mathematics Vol. 10; no. 2; pp. 301 - 310
Main Authors Si Bachir, Fatima, Abbas, Saïd, Benbachir, Maamar, Benchohra, Mouffak
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2021
Springer
Springer Nature B.V
Subjects
Approximation
Approximation theory
Convergence
Convergence (Mathematics)
Differential equations
Mathematical research
Mathematics
Mathematics and Statistics
Algeria
26A33
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Summary:In this paper, we study the global convergence of successive approximations as well as the uniqueness of the random solution of a coupled random Hilfer fractional differential system. We prove a theorem on the global convergence of successive approximations to the unique solution of our problem. In the last section, we present an illustrative example.
ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-021-00326-0