Existence and uniqueness solutions of fuzzy integration-differential mathematical problem by using the concept of generalized differentiability

M. R. Nourizadeh; N. Mikaeilvand; T. Allahviranloo; M. R. Nourizadeh; N. Mikaeilvand; T. Allahviranloo

doi:10.3934/math.2019.5.1430

AIMS Mathematics

2019, Volume 4, Issue 5: 1430-1449. doi: 10.3934/math.2019.5.1430

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Research article

Existence and uniqueness solutions of fuzzy integration-differential mathematical problem by using the concept of generalized differentiability

1.
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2.
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
3.
Faculty of Engineering and Natural Sciences, Bahcesehir University Istanbul, Turkey

Received: 02 March 2019 Accepted: 24 June 2019 Published: 20 September 2019
MSC : 34A07

In this study, we demonstrate studies on two types of solutions linear fuzzy functional integration and differential equation under two kinds Hukuhara derivative by using the concept of generalized differentiability. Various types of solutions to are generated by applying of two separate concepts of fuzzy derivative in formulation of differential problem. Some patterns are presented to describe these results.
- existence and uniqueness solutions,
- integration-differential mathematical problem,
- generalized differentiability
Citation: M. R. Nourizadeh, N. Mikaeilvand, T. Allahviranloo. Existence and uniqueness solutions of fuzzy integration-differential mathematical problem by using the concept of generalized differentiability[J]. AIMS Mathematics, 2019, 4(5): 1430-1449. doi: 10.3934/math.2019.5.1430

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Abstract

In this study, we demonstrate studies on two types of solutions linear fuzzy functional integration and differential equation under two kinds Hukuhara derivative by using the concept of generalized differentiability. Various types of solutions to are generated by applying of two separate concepts of fuzzy derivative in formulation of differential problem. Some patterns are presented to describe these results.

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