Solving fuzzy fractional differential equations by fuzzy Laplace transforms

S Salahshour, T Allahviranloo… - … in Nonlinear Science and …, 2012 - Elsevier
This paper deals with the solutions of fuzzy fractional differential equations (FFDEs) under
Riemann–Liouville H-differentiability by fuzzy Laplace transforms. In order to solve FFDEs, it …

[PDF][PDF] Series solution of fuzzy differential equations under strongly generalized differentiability

OA Arqub - J. Adv. Res. Appl. Math, 2013 - researchgate.net
In this article, series solution of fuzzy differential equations under strongly generalized
differentiability is introduced. The new approach provides the solution in the form of a rapidly …

Solution method for fifth-order fuzzy initial value problem

M Akram, M Yousuf, M Bilal - Granular Computing, 2023 - Springer
Fuzzy differential equations (FDEs) are the general concept of ordinary differential
equations. FDE seems to be a natural way to model the propagation of cognitive uncertainty …

Fuzzy fractional functional integral and differential equations

VH Ngo - Fuzzy Sets and Systems, 2015 - dl.acm.org
This paper is devoted to considering the existence and uniqueness results for fuzzy
fractional functional integral equations employing the contraction principle. Moreover, the …

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 …

An estimation of effects of memory and learning experience on the EOQ model with price dependent demand

M Rahaman, SP Mondal, S Alam - RAIRO-Operations Research, 2021 - rairo-ro.org
In this article, an economic order quantity model has been studied in view of joint impacts of
the memory and learning due to experiences on the decision-making process where …

Fuzzy modeling and control of HIV infection

H Zarei, AV Kamyad, AA Heydari - … and mathematical methods …, 2012 - Wiley Online Library
The present study proposes a fuzzy mathematical model of HIV infection consisting of a
linear fuzzy differential equations (FDEs) system describing the ambiguous immune cells …

Population growth equation by fuzzy common integral transforms

DE Abdulrasool, AN Alkiffai - Journal of Interdisciplinary …, 2022 - Taylor & Francis
In this work, three famous different fuzzy integral transforms have been attempted to
evaluate the exact solution of fuzzy equation based on fuzzy convolution Volterra integral …

Solution of linear differential equations with fuzzy boundary values

N Gasilov, ŞE Amrahov, AG Fatullayev - Fuzzy Sets and Systems, 2014 - Elsevier
We investigate linear differential equations with boundary values expressed by fuzzy
numbers. In contrast to most approaches, which search for a fuzzy-valued function as the …

Solving second-order fuzzy differential equations by the fuzzy Laplace transform method

E ElJaoui, S Melliani, LS Chadli - Advances in difference equations, 2015 - Springer
In this paper, we study the fuzzy Laplace transforms introduced by the authors in
(Allahviranloo and Ahmadi in Soft Comput. 14: 235-243, 2010) to solve only first-order fuzzy …