A semianalytical method for fuzzy integro-differential equations under generalized Seikkala derivative

Biswas, Suvankar; Roy, Tapan Kumar

doi:10.1007/s00500-018-3430-4

Cited by 18 publications

(3 citation statements)

References 21 publications

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“…The higher order FDEs and FPDEs have been excluded in this survey. Furthermore, there are some other types of uncertain differential equations such as random fuzzy differential equations [213]- [215], fuzzy integro differential equations [216], [217], and fuzzy fractional integro differential equations [218], [219] which have not been included in this paper. Note 3: Interval-valued differential equations may be viewed as a special case of fuzzy differential equations where the uncertainty is considered as an interval in which each member has a full grade of membership to the interval.…”

Section: Applications Of Fdesmentioning

confidence: 99%

A Review on Fuzzy Differential Equations

Mazandarani¹,

Li²

2021

IEEE Access

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Since the term "Fuzzy differential equations" (FDEs) emerged in the literature in 1978, prevailing research effort has been dedicated not only to the development of the concepts concerning the topic, but also to its potential applications. This paper presents a chronological survey on fuzzy differential equations of integer and fractional orders. Attention is concentrated on the FDEs in which a definition of fuzzy derivative of a fuzzy number-valued function has been taken into account. The chronological rationale behind considering FDEs under each concept of fuzzy derivative is highlighted. The pros and cons of each approach dealing with FDEs are also discussed. Moreover, some of the proposed FDEs applications and methods for solving them are investigated. Finally, some of the future perspectives and challenges of fuzzy differential equations are discussed based on our personal view point.

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Section: Applications Of Fdesmentioning

confidence: 99%

A Review on Fuzzy Differential Equations

Mazandarani¹,

Li²

2021

IEEE Access

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“…In mathematical models, fuzzy numbers are a useful tool for representing uncertainty and interpreting imprecise or subjective data. Many researchers have been applied this fuzzy number to a wide range of real-world problems such as fuzzy transportation problems [28], fuzzy linear programming problems [29][30][31], fuzzy integro-differential equations [32,33].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy fractional mathematical model of COVID-19 epidemic

Padmapriya

Kaliyappan

2022

IFS

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In this paper, we develop a mathematical model with a Caputo fractional derivative under fuzzy sense for the prediction of COVID-19. We present numerical results of the mathematical model for COVID-19 of most three infected countries such as the USA, India and Italy. Using the proposed model, we estimate predicting future outbreaks, the effectiveness of preventive measures and potential control strategies of the infection. We provide a comparative study of the proposed model with Ahmadian’s fuzzy fractional mathematical model. The results demonstrate that our proposed fuzzy fractional model gives a nearer forecast to the actual data. The present study can confirm the efficiency and applicability of the fractional derivative under uncertainty conditions to mathematical epidemiology.

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“…In the recent time, Balakrishnan et al [ 40 ] studied the fifth-order Milne–Simpson method to find the solution of fuzzy differential equation using interval-valued fuzzy number. There are many researchers, who are still working for analytical and numerical solution of fuzzy differential equation [ 41 – 43 ]. Now, all the above work may be modified and generalized for neutrosophic environment.…”

Section: Introductionmentioning

confidence: 99%

Second-order neutrosophic boundary-value problem

Moi

Biswas²,

Pal

2021

Complex Intell. Syst.

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In this article, some properties of neutrosophic derivative and neutrosophic numbers have been presented. This properties have been used to develop the neutrosophic differential calculus. By considering different types of first- and second-order derivatives, different kind of systems of derivatives have been developed. This is the first time where a second-order neutrosophic boundary-value problem has been introduced with different types of first- and second-order derivatives. Some numerical examples have been examined to explain different systems of neutrosophic differential equation.

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A semianalytical method for fuzzy integro-differential equations under generalized Seikkala derivative

Cited by 18 publications

References 21 publications

A Review on Fuzzy Differential Equations

A Review on Fuzzy Differential Equations

Fuzzy fractional mathematical model of COVID-19 epidemic

Second-order neutrosophic boundary-value problem

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