Controllability for impulsive fuzzy neutral functional integrodifferential equations

Chalishajar, Dimplekumar; Ramesh, R.

doi:10.1063/1.5127472

Cited by 4 publications

(4 citation statements)

References 20 publications

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“…Theorem 1. [22] The nonlocal problem (1) is said to be controllable on the interval J if there exists a control u(t), such that the fuzzy solution x(t) for ( 2) is controllable and satisfies…”

Section: H1 S(t) Is a Fuzzy Number Wherementioning

confidence: 99%

“…According to the best of our knowledge, there are only a few papers that deal with the controllability of fuzzy differential systems in the literature. Chalishajar, D. N., and Ramesh, R. (2019) developed controllability for impulsive fuzzy neutral functional integrodifferential equations [22]. Balachandran et al (2000) proved the controllability of neutral functional integrodifferential systems in Banach spaces [23].…”

Section: Introductionmentioning

confidence: 99%

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Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

Acharya

Kushawaha

Panchal

et al. 2021

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Section: H1 S(t) Is a Fuzzy Number Wherementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

Acharya

Kushawaha

Panchal

et al. 2021

Axioms

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“…[19] studied the periodic boundary value problems for second-order impulsive integrodifferential equations. [7] studied the controllability for the following impulsive fuzzy neutral functional integrodifferential equations using Banach fixed point theorem.…”

Section: Introductionmentioning

confidence: 99%

Controllability of second order neutral impulsive fuzzy functional differential equations with Non-Local conditions

2023

RNA

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In this paper, the controllability of fuzzy solutions for a second-order nonlocal impulsive neutral functional differential equation with both nonlocal and impulsive conditions in terms of fuzzy are considered. The sufficient condition of controllability is developed using the Banach fixed point theorem and a fuzzy number whose values are normal, convex, upper semi-continuous, and compactly supported fuzzy sets with the Hausdorff distance between α-cuts at its maximum. The α-cut approaches allow to translate a system of fuzzy differential equations into a system of ordinary differential equations to the endpoints of the states. An example of the application is given at the end to demonstrate the results. These kinds of systems come in use for designing landing systems for planes and spacecraft, as well as car suspension systems.

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“…In recent years, many mathematicians have studied the solution of fuzzy differential equations [10][11][12], fuzzy integral equations [13][14][15][16][17], and fuzzy integro-differential equations [18][19][20][21], which play a key role in engineering [22,23]. These equations in a fuzzy setting are a natural way to model the ambiguity of dynamic systems in different scientific fields such as physics, geography, medicine, and biology [24,25].…”

Section: Introductionmentioning

confidence: 99%

Double Fuzzy Sumudu Transform to Solve Partial Volterra Fuzzy Integro-Differential Equations

Georgieva

2020

Mathematics

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In this paper, the double fuzzy Sumudu transform (DFST) method was used to find the solution to partial Volterra fuzzy integro-differential equations (PVFIDE) with convolution kernel under Hukuhara differentiability. Fundamental results of the double fuzzy Sumudu transform for double fuzzy convolution and fuzzy partial derivatives of the n-th order are provided. By using these results the solution of PVFIDE is constructed. It is shown that DFST method is a simple and reliable approach for solving such equations analytically. Finally, the method is demonstrated with examples to show the capability of the proposed method.

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Controllability for impulsive fuzzy neutral functional integrodifferential equations

Cited by 4 publications

References 20 publications

Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

Controllability of second order neutral impulsive fuzzy functional differential equations with Non-Local conditions

Double Fuzzy Sumudu Transform to Solve Partial Volterra Fuzzy Integro-Differential Equations

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