Mathematics, 2022 As is known to all, Lipschitz condition, which is very important to guarantee existence and uniqueness of solution for differential equations, is not frequently satisfied in real-world problems.
Fan Zhang, Heng-You Lan, Hai-Yang Xu
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Stabilisation of hybrid stochastic differential equations by delay feedback control [PDF]
, 2008 This paper is concerned with the exponential mean-square stabilisation of hybrid stochastic differential equations (also known as stochastic dierential equations with Markovian switching) by delay feedback controls.
Lam, James +10 more
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A note on the robust stability of uncertain stochastic fuzzy systems with time-delays [PDF]
, 2004 Copyright [2004] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Liu, X, Wang, Z, Ho, DWC
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A survey and comparative analysis of different approaches to fuzzy differential equations modeling dynamics with uncertain parameters of deterministic character [PDF]
, 2015 summary:Dynamics containing deterministic uncertainties can be modeled with fuzzy differential equations. Unlike classical differential equations, fuzzy differential equations lack a unified interpretation and theoretical foundation, as researchers adopt
Gasilov, Nizami A. +1 more
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Fuzzy Type RK4 Solutions to Fuzzy Hybrid Retarded Delay Differential Equations
Frontiers in Physics, 2019 This paper constructs the numerical solution of particular type of differential equations called fuzzy hybrid retarded delay-differential equations using the method of Runge-Kutta for fourth order.
Prasantha Bharathi Dhandapani +4 more
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Fuzzy Differential Equations for Nonlinear System Modeling With Bernstein Neural Networks
IEEE Access, 2016 With the fuzzy set theory, the uncertainty of nonlinear systems can be modeled using fuzzy differential equations. The solutions of these equations are the model output, but they are very difficult to obtain.
Raheleh Jafari, Wen Yu, Xiaoou Li
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A comprehensive literature review of fuzzy differential equations with applications [PDF]
Journal of Fuzzy Extension and ApplicationsPhysical dynamical systems can be described through mathematical models using the theory of differential equations. Many different types of uncertain healing occur in the real-world. Fuzzy logic is an effective mathematical tool for defining the sense of
Kamal Hossain Gazi +6 more
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Mathematics, 2022 The study of the fuzzy differential equation is a topic that researchers are interested in these days. By modelling, this fuzzy differential equation can be used to resolve issues in the real world.
Nurain Zulaikha Husin +2 more
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Double Fuzzy Sumudu Transform to Solve Partial Volterra Fuzzy Integro-Differential Equations
, 2020 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.
Atanaska Georgieva
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