Solution of the Pythagorean fuzzy wave equation with Pythagorean fuzzy Fourier sine transform

M Akram, M Yousuf, T Allahviranloo - Granular Computing, 2023 - Springer
The main objective of this research article is to study the analytical solution of the
Pythagorean fuzzy wave equation under the generalized Hukuhara partial differentiability …

Fuzzy fractional differential operators and equations

T Allahviranloo - Studies in fuzziness and soft computing, 2021 - Springer
I tried to use my all knowledge and experiences during 22 years on the fuzzy subjects, to
write this book. To this end, I studied many sources that all are in the sources section but the …

Variational iteration method for fractional calculus-a universal approach by Laplace transform

GC Wu, D Baleanu - Advances in Difference Equations, 2013 - Springer
A novel modification of the variational iteration method (VIM) is proposed by means of the
Laplace transform. Then the method is successfully extended to fractional differential …

The solution of fuzzy variational problem and fuzzy optimal control problem under granular differentiability concept

AM Mustafa, Z Gong, M Osman - International Journal of Computer …, 2021 - Taylor & Francis
In this paper, the fuzzy variational problem and fuzzy optimal control problem are
considered. The granular Euler–Lagrange condition for the fuzzy variational problem and …

New applications of the variational iteration method - from differential equations to q-fractional difference equations

GC Wu, D Baleanu - Advances in Difference Equations, 2013 - Springer
The non-classical calculi such as q-calculus, fractional calculus and q-fractional calculus
have been hot topics in both applied and pure sciences. Then some new linear and …

Fuzzy partial differential equations under the cross product of fuzzy numbers

R Alikhani, F Bahrami - Information Sciences, 2019 - Elsevier
This paper presents a new approach for obtaining triangular solutions of linear partial
differential equations with fuzzy coefficients. Our approach is based on employing the …

Fuzzy numerical solution via finite difference scheme of wave equation in double parametrical fuzzy number form

M Almutairi, H Zureigat, A Izani Ismail… - Mathematics, 2021 - mdpi.com
The use of fuzzy partial differential equations has become an important tool in which
uncertainty or vagueness exists to model real-life problems. In this article, two numerical …

[HTML][HTML] A study on linguistic z-graph and its application in social networks

R Mahapatra, S Samanta, M Pal, T Allahviranloo… - Mathematics, 2024 - mdpi.com
This paper presents a comprehensive study of the linguistic Z-graph, which is a novel
framework designed to analyze linguistic structures within social networks. By integrating …

Laplace variational iteration method for modified fractional derivatives with non-singular kernel

H Yépez-Martínez, JF Gómez-Aguilar - Journal of Applied and …, 2020 - jacm.scu.ac.ir
A universal approach by Laplace transform to the variational iteration method for fractional
derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio …

Variational iteration method for solving the time-fractional diffusion equations in porous medium

GC Wu - Chinese Physics B, 2012 - iopscience.iop.org
The variational iteration method is successfully extended to the case of solving fractional
differential equations, and the Lagrange multiplier of the method is identified in a more …