Approximate Controllability for Fuzzy Fractional Evolution Equations of Order ℓ ∈ (1, 2)

Authors

  • R Hariharan Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India
  • R Udhayakumar Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India https://orcid.org/0000-0002-7020-3466

DOI:

https://doi.org/10.37256/cm.5320245162

Keywords:

approximate controllability, fuzzy fractional evolution system, mild solution, fixed point theory

Abstract

This study focuses on exploring the concept of approximate controllability in nonlocal Cauchy problems associated with fuzzy fractional evolution equations of order ℓ ∈ (1, 2). Our approach combines fuzzy theory, fractional calculus, and Krasnoselskii’s fixed point theorem to establish key findings. Our primary objective is to establish the approximate controllability of these fuzzy fractional systems. Additionally, we provide a theoretical example to illustrate the implications of our findings.

References

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Published

2024-08-15

Issue

Contemporary Mathematics, Volume 5 Issue 3 (2024), 2593-4131

Section

Research Article

License

Copyright (c) 2024 R Hariharan, R Udhayakumar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
Approximate Controllability for Fuzzy Fractional Evolution Equations of Order ℓ ∈ (1, 2). Contemp. Math. [Internet]. 2024 Aug. 15 [cited 2025 Dec. 24];5(3):3287-312. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/5162