A Study on Systematic Review of Fuzzy Variational Problems

Govind Madhukar Bamdale; Dr. Sonu Kumar

A Study on Systematic Review of Fuzzy Variational Problems

September 2022

Vol-8, Issue-5

Paper ID: 18120

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

MATHEMATICS

Keywords

Fuzzy Euler Variational.

Abstract

The study of fuzzy variational problems has received significant attention over the past decade due to its successful applications in numerous fields, such as image segmentation and optimal control theory. The fuzzy Euler-Lagrange equations provide the necessary optimality conditions for solving fuzzy variational problems explicitly and have been studied under several differentiability conditions. In this paper, we provide a systematic review to recap the history of variational principle in the calculus of variations and compare it with the existing techniques in the fuzzy setting. We begin with the preliminary concepts and definitions of fuzzy theory and scrutinize the Euler-Lagrange’s strategy via systematically searched studies concerning fuzzy variational problems to highlight the importance of improving the existing methods. Finally, we set up the main open problems regarding the limitations of the current approaches, shedding light on future directions.

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Author Information

#	Name	Institute / Affiliation
1	Govind Madhukar Bamdale	Research Scholar, Sunrise University, Alwar
2	Dr. Sonu Kumar	Professor, Sunrise University, Alwar

How to Cite

Use the following formats to cite this article in your research.

APA Style

Bamdale, Govind Madhukar & Kumar, Dr. Sonu (2022). A Study on Systematic Review of Fuzzy Variational Problems. International Journal of Advance Research and Innovative Ideas In Education, 8(5), 22-26.

MLA Style

Bamdale, Govind Madhukar, and Dr. Sonu Kumar. "A Study on Systematic Review of Fuzzy Variational Problems." International Journal of Advance Research and Innovative Ideas In Education, vol. 8, no. 5, 2022, pp. 22-26.

IEEE Style

Govind Madhukar Bamdale and Dr. Sonu Kumar, "A Study on Systematic Review of Fuzzy Variational Problems," International Journal of Advance Research and Innovative Ideas In Education, vol. 8, no. 5, pp. 22-26, 2022.

Vancouver Style

Bamdale Govind Madhukar, Kumar Dr. Sonu. A Study on Systematic Review of Fuzzy Variational Problems. International Journal of Advance Research and Innovative Ideas In Education. 2022;8(5):22-26.

Harvard Style

Bamdale, Govind Madhukar & Kumar, Dr. Sonu (2022) 'A Study on Systematic Review of Fuzzy Variational Problems', International Journal of Advance Research and Innovative Ideas In Education, 8(5), pp. 22-26.

Chicago Style

Bamdale, Govind Madhukar and Dr. Sonu Kumar. "A Study on Systematic Review of Fuzzy Variational Problems." International Journal of Advance Research and Innovative Ideas In Education 8, no. 5 (2022): 22-26.

Turabian Style

Bamdale, Govind Madhukar and Dr. Sonu Kumar. "A Study on Systematic Review of Fuzzy Variational Problems." International Journal of Advance Research and Innovative Ideas In Education 8, no. 5 (2022): 22-26.