The Journal of the Indian Mathematical Society

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Existence of Nonlinear Fuzzy Differential Equations with Impulses


Affiliations
1 Department of Mathematics, Beant College of Engineering and Tech., Gurdaspur, Punjab,, India
2 Department of Mathematics, JC DAV College, Dasuya, Punjab, India
     

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In this paper, we establish the local and global existence and uniqueness results for fuzzy differential equation with impulse effect using contraction principle. It has also been shown that impulses do contribute to control the fuzziness of the solution.

Keywords

Fuzzy Differential Equations, Impulsive Differential Equations, Fuzzy Metric Spaces, Local and Global Existence, Contraction Principle.
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  • Existence of Nonlinear Fuzzy Differential Equations with Impulses

Abstract Views: 222  |  PDF Views: 0

Authors

Sanjay K. Srivastava
Department of Mathematics, Beant College of Engineering and Tech., Gurdaspur, Punjab,, India
Bhanu Gupta
Department of Mathematics, JC DAV College, Dasuya, Punjab, India

Abstract


In this paper, we establish the local and global existence and uniqueness results for fuzzy differential equation with impulse effect using contraction principle. It has also been shown that impulses do contribute to control the fuzziness of the solution.

Keywords


Fuzzy Differential Equations, Impulsive Differential Equations, Fuzzy Metric Spaces, Local and Global Existence, Contraction Principle.