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Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations via Common Fixed-Point Techniques in Complex Valued Fuzzy Metric Spaces
Journal article   Peer reviewed

Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations via Common Fixed-Point Techniques in Complex Valued Fuzzy Metric Spaces

Humaira, Muhammad Sarwar and Thabet Abdeljawad
Mathematical problems in engineering, Vol.2020, pp.1-14
2020

Abstract

Engineering Engineering, Multidisciplinary Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology Technology
The main purpose of this paper is to study the existence theorem for a common solution to a class of nonlinear three-point implicit boundary value problems of impulsive fractional differential equations. In this respect, we study the fuzzy version of some essential common fixed-point results from metric spaces in the newly introduced notion of complex valued fuzzy metric spaces. Also, we provide an illustrative example to demonstrate the validity of our derived results.

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