Results 1 to 10 of about 2,847,089 (287)

Fuzzy Conformable Fractional Differential Equations [PDF]

open access: yesInternational Journal of Differential Equations, 2021
In this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a
Atimad Harir   +2 more
doaj   +3 more sources

Numerical Solution of Fuzzy Differential Equation [PDF]

open access: yesMathematical and Computational Applications, 2002
In this paper numerical algorithms for solving fuzzy ordinary differential equations are considered. A scheme based on the 2nd Taylor method in detail is discussed and this is followed by a complete error analysis. The algorithm is illustrated by solving some linear and nonlinear fuzzy cauchy problems.
Saeid Abbasbandy
exaly   +2 more sources

A Review on Fuzzy Differential Equations [PDF]

open access: yesIEEE Access, 2021
Since the term “Fuzzy differential equations” (FDEs) emerged in the literature in 1978, prevailing research effort has been dedicated not only to the development of the concepts concerning the topic, but also to its potential applications. This paper presents a chronological survey on fuzzy differential equations of integer and fractional
Mehran Mazandarani, Xiu Li 0001
openaire   +2 more sources

Incorporating Fuzziness in the Traditional Runge–Kutta Cash–Karp Method and Its Applications to Solve Autonomous and Non-Autonomous Fuzzy Differential Equations

open access: yesMathematics, 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
doaj   +1 more source

Approximation Solution for Fuzzy Fractional-Order Partial Differential Equations

open access: yesFractal and Fractional, 2022
In this article, the authors study the comparison of the generalization differential transform method (DTM) and fuzzy variational iteration method (VIM) applied to determining the approximate analytic solutions of fuzzy fractional KdV, K(2,2) and mKdV ...
Mawia Osman   +4 more
doaj   +1 more source

Effective Approach to Construct Series Solutions for Uncertain Fractional Differential Equations

open access: yesFuzzy Information and Engineering, 2022
Purpose: We construct the analytical approximate resiual power fuzzy series solutions of fuzzy conformable fractional differential equations in an [Formula: see text]-level depiction in the sense of strongly generalized [Formula: see text]-fuzzy ...
Zeyad Al-Zhour   +5 more
doaj   +1 more source

A Numerical Method for Fuzzy Differential Equations and Hybrid Fuzzy Differential Equations [PDF]

open access: yesAbstract and Applied Analysis, 2013
Numerical algorithms for solving first-order fuzzy differential equations and hybrid fuzzy differential equations have been investigated. Sufficient conditions for stability and convergence of the proposed algorithms are given, and their applicability is illustrated with some examples.
K. Ivaz, A. Khastan, Juan J. Nieto
openaire   +4 more sources

A New Continuous-Discrete Fuzzy Model and Its Application in Finance

open access: yesMathematics, 2020
In this paper, we propose a fuzzy differential-difference equation for modeling of mixed continuous-discrete phenomena. In the special case, we present the general solution of linear fuzzy differential-difference equations.
Hoang Viet Long   +2 more
doaj   +1 more source

Fuzzy fractional hybrid differential equations

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
This article is related to present and solve the theory of fractional hybrid differential equations with fuzzy initial values involving the fuzzy Riemann-Liouville fractional differential operators of order $0 < q < 1$. For the concerned presentation, we
A. Harir, S. Melliani, L.S. Chadli
doaj   +1 more source

Homotopy Analysis Method Analytical Scheme for Developing a Solution to Partial Differential Equations in Fuzzy Environment

open access: yesFractal and Fractional, 2022
Partial differential equations are known to be increasingly important in today’s research, and their solutions are paramount for tackling numerous real-life applications.
Sarmad A. Altaie   +5 more
doaj   +1 more source

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