Existence of Local and Global Solutions To Fractional Order Fuzzy Delay Differential Equation With Non-Instantaneous Impulses
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Average
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Abstract
The main concern of this manuscript is to examine some sufficient conditions under which the fractional order fuzzy delay differential system with the non-instantaneous impulsive condition has a unique solution. We also study the existence of a global solution for the considered system. Fuzzy set theory, Banach fixed point theorem and Non-linear functional analysis are the major tools to demonstrate our results. In last, an example is given to illustrate these analytical results.
Description
Sajid, Mohammad/0000-0002-9921-787X; Kumar, Anil/0000-0001-7519-803X
Keywords
Fuzzy Delay Differential Equations, Atangana-Baleanu Fractional Derivative, Fixed Point Theorem, Non-Instantaneous Impulses, Statistics and Probability, Artificial intelligence, Interval (graph theory), Economics, fixed point theorem, Fuzzy Differential Equations and Uncertainty Modeling, Set (abstract data type), Control (management), Theory and Applications of Fractional Differential Equations, Mathematical analysis, atangana-baleanu fractional derivative, Differential equation, Banach fixed-point theorem, QA1-939, FOS: Mathematics, Control theory (sociology), Fixed-point theorem, non-instantaneous impulses, Anomalous Diffusion Modeling and Analysis, Order (exchange), Applied Mathematics, fuzzy delay differential equations, Applied mathematics, Computer science, Programming language, Fuzzy Differential Equations, Fuzzy logic, Combinatorics, Modeling and Simulation, Physical Sciences, Mathematics, Nonlinear Systems, Finance
Fields of Science
02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering
Citation
Kumar, Anil...at all (2022). "Existence of local and global solutions to fractional order fuzzy delay differential equation with non-instantaneous impulses", AIMS Mathematics, Vol. 7, No. 2, pp. 2348-2369.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
8
Source
AIMS Mathematics
Volume
7
Issue
2
Start Page
2348
End Page
2369
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Scopus : 10
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