Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces

In this manuscript, the existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces is studied and the fuzzy version of some fixed point results by using the definition and properties of a complex-valued fuzzy metri...

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Bibliographic Details
Published in:Advances in difference equations 2021-05, Vol.2021 (1), p.1-26, Article 242
Main Authors: Humaira, Hammad, Hasanen A., Sarwar, Muhammad, De la Sen, Manuel
Format: Article
Language:English
Subjects:
Analysis
Cauchy sequence
Common fixed point
Complex-valued fuzzy metric space
Complex-valued t-norm
Coupled system of impulsive fractional differential equations
Difference and Functional Equations
Differential equations
Existence theorems
Functional Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Metric space
Ordinary Differential Equations
Partial Differential Equations
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Summary:In this manuscript, the existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces is studied and the fuzzy version of some fixed point results by using the definition and properties of a complex-valued fuzzy metric space is presented. Ultimately, some appropriate examples are constructed to illustrate our theoretical results.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-021-03401-0