Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems

OA Arqub, M Al-Smadi, S Momani, T Hayat - Soft Computing, 2017 - Springer
In this paper, we investigate the analytic and approximate solutions of second-order, two-
point fuzzy boundary value problems based on the reproducing kernel theory under the …

[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 …

A boundary value problem for second order fuzzy differential equations

A Khastan, JJ Nieto - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
In this paper, we interpret a two-point boundary value problem for a second order fuzzy
differential equation by using a generalized differentiability concept. We present a new …

Residual series representation algorithm for solving fuzzy duffing oscillator equations

M Alshammari, M Al-Smadi, OA Arqub, I Hashim… - Symmetry, 2020 - mdpi.com
The mathematical structure of some natural phenomena of nonlinear physical and
engineering systems can be described by a combination of fuzzy differential equations that …

Variation of constant formula for first order fuzzy differential equations

A Khastan, JJ Nieto, R Rodriguez-Lopez - Fuzzy Sets and Systems, 2011 - Elsevier
In this paper, we study first order linear fuzzy differential equations by using the generalized
differentiability concept and we present the general form of their solutions. We also correct …

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 …

Numerical Study of MHD Third‐Grade Fluid Flow through an Inclined Channel with Ohmic Heating under Fuzzy Environment

M Nadeem, I Siddique, F Jarad… - … Problems in Engineering, 2021 - Wiley Online Library
The uncertainties or fuzziness occurs due to insufficient knowledge, experimental error,
operating conditions, and parameters that give the imprecise information. In this article, we …

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 …

Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives

S Maitama, W Zhao - Computational and Applied Mathematics, 2021 - Springer
In this paper, we propose the fuzzy Shehu transform method (FSTM) using Zadeh's
decomposition theorem and fuzzy Riemann integral of real-valued functions on finite …

Computational optimization of residual power series algorithm for certain classes of fuzzy fractional differential equations

M Alaroud, M Al-Smadi, RR Ahmad… - … Journal of Differential …, 2018 - Wiley Online Library
This paper aims to present a novel optimization technique, the residual power series (RPS),
for handling certain classes of fuzzy fractional differential equations of order 1< γ≤ 2 under …