Representation of Solutions to Fuzzy Linear Conformable Differential Equations

Taoyu Yang; Jinrong Wang; Donal O’regan

doi:10.2298/FIL2201255Y

Representation of Solutions to Fuzzy Linear Conformable Differential Equations

Taoyu Yang, Jinrong Wang, Donal O’regan

Mathematics

Guizhou University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we study fuzzy linear conformable differential equations using the generalized fuzzy conformable fractional differentiability concept. We give an explicit representation of q₍₁₎-differentiable and q₍₂₎-differentiable solutions for appropriate differential equations. Finally, we give some examples to illustrate our theoretical results.

Original language	English
Pages (from-to)	255-273
Number of pages	19
Journal	Filomat
Volume	36
Issue number	1
DOIs	https://doi.org/10.2298/FIL2201255Y
Publication status	Published - 2022

Keywords

Fuzzy linear conformable differential equations
Q-differentiable and q-differentiable solutions
Variation of constants formula

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10.2298/FIL2201255Y

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title = "Representation of Solutions to Fuzzy Linear Conformable Differential Equations",

abstract = "In this paper, we study fuzzy linear conformable differential equations using the generalized fuzzy conformable fractional differentiability concept. We give an explicit representation of q(1)-differentiable and q(2)-differentiable solutions for appropriate differential equations. Finally, we give some examples to illustrate our theoretical results.",

keywords = "Fuzzy linear conformable differential equations, Q-differentiable and q-differentiable solutions, Variation of constants formula",

author = "Taoyu Yang and Jinrong Wang and Donal O{\textquoteright}regan",

year = "2022",

doi = "10.2298/FIL2201255Y",

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T1 - Representation of Solutions to Fuzzy Linear Conformable Differential Equations

AU - Yang, Taoyu

AU - Wang, Jinrong

AU - O’regan, Donal

PY - 2022

Y1 - 2022

N2 - In this paper, we study fuzzy linear conformable differential equations using the generalized fuzzy conformable fractional differentiability concept. We give an explicit representation of q(1)-differentiable and q(2)-differentiable solutions for appropriate differential equations. Finally, we give some examples to illustrate our theoretical results.

AB - In this paper, we study fuzzy linear conformable differential equations using the generalized fuzzy conformable fractional differentiability concept. We give an explicit representation of q(1)-differentiable and q(2)-differentiable solutions for appropriate differential equations. Finally, we give some examples to illustrate our theoretical results.

KW - Fuzzy linear conformable differential equations

KW - Q-differentiable and q-differentiable solutions

KW - Variation of constants formula

UR - https://www.scopus.com/pages/publications/85126283061

U2 - 10.2298/FIL2201255Y

DO - 10.2298/FIL2201255Y

M3 - Article

AN - SCOPUS:85126283061

SN - 0354-5180

VL - 36

SP - 255

EP - 273

JO - Filomat

JF - Filomat

IS - 1

ER -

Representation of Solutions to Fuzzy Linear Conformable Differential Equations

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