Work

Solution of Linear Ordinary Differential Equations in Fuzzy Environment by Method of Variation of Parameters

Year: 2021

Type: article

Abstract: This work considers linear fuzzy initial value problems (LFIVPs) defined under gH-differentiability with the aim of establishing a method and, subsequently, a fuzzy-valued function, which is a solution to the LFIVPs. The conditions for a fuzzy function to be Hukuharanbsp;(H)-differentiable and gH-differentiability are defined. It is, however, established thatnbsp;the gH-differentiability concept to fuzzy-valued functions is more generalized thannbsp;H-differentiable. Characterization and stacking theorems are also used to translate LFIVPsnbsp;to a system of specialized ODEs. The method of variation of parameters is also extendednbsp;to LFIVPs. Examples are constructed to test the applicability of the methods and graphicalnbsp;presentation of the behavior of solutions of the constructed examples is carried out withnbsp;the aid of MATLAB version 8.5. We recommend that further studies should be carried outnbsp;on second and higher order LFIVPs.

Source: Science Forum (Journal of Pure and Applied Sciences)

DOI: 10.5455/sf.93078

Authors: Udot Asuquo, Alhaji Tahir, Usman Sulaiman, Alhaji Tahir

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W3203202756

FWCI:

Cites: 3

Cited by:

Related to: 10