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 …

Solving Fuzzy Fractional Differential Equations Using Zadeh′ s Extension Principle

MZ Ahmad, MK Hasan… - The Scientific World …, 2013 - Wiley Online Library
We study a fuzzy fractional differential equation (FFDE) and present its solution using
Zadeh's extension principle. The proposed study extends the case of fuzzy differential …

Numerical solution of fuzzy differential equations and the dependency problem

AHA Omar, YA Hasan - Applied Mathematics and Computation, 2012 - Elsevier
Using fuzzy differential equations is a rational way of modeling a dynamic system under
possibilistic uncertainty. In modeling real-world phenomena, fuzzy initial value problems …

[PDF][PDF] Incorporating uncertainty in financial models

ML Guerra, L Sorini - Applied Mathematical Sciences, 2012 - m-hikari.com
Financial problems are often based on a rigorous mathematical structure and are strongly
dependent on the imprecision of the input data. In this paper we show how it is possible to …

Numerical methods for fuzzy initial value problems under different types of interpretation: a comparison study

MZ Ahmad, MK Hasan - … ICIEIS 2011, Kuala Lumpur, Malaysia, November …, 2011 - Springer
In this paper, we present the solution of fuzzy initial value problem of the form X′(t)= f (t, X
(t)), X (t 0)= X 0, where X 0 is a symmetric triangular fuzzy interval. In the first part, we review …

Existence and Uniqueness Solutions of Fuzzy Fractional Integration-Differential Problem Under Caputo gH-Differentiability

S Melliani, E Arhrrabi, M Elomari, LS Chadli - Applied Mathematics and …, 2024 - Springer
Existence and Uniqueness Solutions of Fuzzy Fractional Integration-Differential Problem
Under Caputo gH-Differentiability | SpringerLink Skip to main content Advertisement …

[PDF][PDF] Numerical solution of fuzzy IVP with trapezoidal and triangular fuzzy numbers by using fifth order Runge-Kutta method

AF Jameel, AIM Ismail, A Sadeghi - World Applied Sciences Journal, 2012 - academia.edu
In this paper we formulate a fifth order Runge-Kutta method for solution of fuzzy linear initial
value problem involving ordinary differential equations with trapezoidal and triangular fuzzy …

Reduce the Complexity of Big Number Factoring for RSA Breaking

K Oad - 2021 - search.proquest.com
Abstract The Rivest-Shamir-Adleman (RSA) is a public key cryptosystem widely used in
online transactions over the Internet to secure the data transmission. The security of RSA …

A Method of Computing Functions of Trapezoidal Fuzzy Variable and Its Application to Fuzzy Calculus

MZ Ahmad, MK Hasan - Journal of Science and Technology, 2011 - penerbit.uthm.edu.my
This paper introduces a method of computing functions of trapezoidal fuzzy variable. The
method is based on the implementation of an unconstrained optimisation technique over the …

Solving fuzzy differential equations using implicit multistep block method

A Ramli, ZA Majid - AIP Conference Proceedings, 2015 - pubs.aip.org
In this paper, an implicit multistep block method of order three is proposed for solving fuzzy
differential equations. The method is based on diagonally implicit multistep block method …