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AIMS Mathematics

2022, Volume 7, Issue 2: 2348-2369. doi: 10.3934/math.2022133
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Research article

Existence of local and global solutions to fractional order fuzzy delay differential equation with non-instantaneous impulses

  • 1.
    School of Basic Sciences, Indian Institute of Technology Mandi, India
  • 2.
    Department of Mechanical Engineering, College of Engineering, Qassim University, Buraidah-51452, Al Qassim, Saudi Arabia
  • 3.
    Cankaya University, Department of Mathematics and Computer Sciences, Ankara, Turkey
  • 4.
    Institute of Space Sciences, Magurele-Bucharest, Romania
  • Received: 09 September 2021 Accepted: 01 November 2021 Published: 11 November 2021

  • MSC : 03B52, 34A07, 34A08, 34A37

  • 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.

    Citation: Anil Kumar, Muslim Malik, Mohammad Sajid, Dumitru Baleanu. Existence of local and global solutions to fractional order fuzzy delay differential equation with non-instantaneous impulses[J]. AIMS Mathematics, 2022, 7(2): 2348-2369. doi: 10.3934/math.2022133

    Related Papers:

  • 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.


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