Fuzzy fractional differential equations under generalized fuzzy Caputo derivative

T Allahviranloo, A Armand… - Journal of Intelligent & …, 2014 - content.iospress.com
In this paper the fuzzy Caputo fractional differential equation (FCFDE) under the
Generalized Hukuhara differentiability is introduced. Also the existence and uniqueness of …

Generalized derivative and π-derivative for set-valued functions

Y Chalco-Cano, H Román-Flores… - Information …, 2011 - Elsevier
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Applications of fuzzy Laplace transforms

S Salahshour, T Allahviranloo - Soft computing, 2013 - Springer
A natural way to model dynamic systems under uncertainty is to use fuzzy initial value
problems (FIVPs) and related uncertain systems. In this paper, we express the fuzzy Laplace …

A new method for solving fuzzy linear differential equations

T Allahviranloo, S Abbasbandy, S Salahshour… - Computing, 2011 - Springer
In this paper, a novel operator method is proposed for solving fuzzy linear differential
equations under the assumption of strongly generalized differentiability. To this end, the …

On the solutions to first order linear fuzzy differential equations

A Khastan, R Rodríguez-López - Fuzzy Sets and Systems, 2016 - Elsevier
In this paper, we study different formulations of first order linear fuzzy differential equations
using the concept of generalized differentiability. We present sufficient conditions for the …

[PDF][PDF] Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator

M Akram, T Ihsan, T Allahviranloo… - Math. Biosci …, 2022 - researchgate.net
This study presents a new analytical method to extract the fuzzy solution of the fuzzy initial
value problem (FIVP) of fourth-order fuzzy ordinary differential equations (FODEs) using the …

A new derivative concept for set-valued and fuzzy-valued functions. Differential and integral calculus in quasilinear metric spaces

V Lupulescu, D O'Regan - Fuzzy Sets and Systems, 2021 - Elsevier
The aim of this paper is to develop a differential calculus for functions with values in a
quasilinear metric space. Using only the metric on a quasilinear metric space and without …

Existence and uniqueness of solutions of fuzzy Volterra integro-differential equations

S Hajighasemi, T Allahviranloo, M Khezerloo… - … and Management of …, 2010 - Springer
CCIS 81 - Existence and Uniqueness of Solutions of Fuzzy Volterra Integro-differential
Equations Page 1 Existence and Uniqueness of Solutions of Fuzzy Volterra Integro-differential …

[HTML][HTML] Application of Adomian decomposition method to solve hybrid fuzzy differential equations

M Paripour, E Hajilou, A Hajilou, H Heidari - Journal of Taibah University for …, 2015 - Elsevier
In this paper, we study the numerical solution of hybrid fuzzy differential equations by using
Adomian decomposition method (ADM). This is powerful method which consider the …

Fuzzy differential equations for nonlinear system modeling with Bernstein neural networks

R Jafari, W Yu, X Li - Ieee Access, 2016 - ieeexplore.ieee.org
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 …