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 …
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 …
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
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 …
differential equation by using a generalized differentiability concept. We present a new …
Residual series representation algorithm for solving fuzzy duffing oscillator equations
The mathematical structure of some natural phenomena of nonlinear physical and
engineering systems can be described by a combination of fuzzy differential equations that …
engineering systems can be described by a combination of fuzzy differential equations that …
Variation of constant formula for first order fuzzy differential equations
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 …
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 …
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 …
operating conditions, and parameters that give the imprecise information. In this article, we …
A new method for solving fuzzy linear differential equations
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 …
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
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 …
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
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 …
for handling certain classes of fuzzy fractional differential equations of order 1< γ≤ 2 under …