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 …

[HTML][HTML] A fuzzy fractional power series approximation and taylor expansion for solving fuzzy fractional differential equation

P Singh, KH Gazi, M Rahaman, S Salahshour… - Decision Analytics …, 2024 - Elsevier
Fuzzy fractional differential has the strength to capture the senses of memory and
uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy …

[HTML][HTML] A Jacobi operational matrix for solving a fuzzy linear fractional differential equation

A Ahmadian, M Suleiman, S Salahshour… - Advances in Difference …, 2013 - Springer
This paper reveals a computational method based using a tau method with Jacobi
polynomials for the solution of fuzzy linear fractional differential equations of order 0< v< 1. A …

Analysis of incommensurate multi-order fuzzy fractional differential equations under strongly generalized fuzzy Caputo's differentiability

M Akram, G Muhammad - Granular Computing, 2023 - Springer
Analytical studies of fuzzy fractional differential equations (FFDEs) of two different
independent fractional orders are often complex and difficult. It is essential to develop …

Solving Pythagorean fuzzy fractional differential equations using Laplace transform

M Akram, T Ihsan, T Allahviranloo - Granular Computing, 2023 - Springer
In this research article, we discuss an important class of modern differential equations in the
Pythagorean fuzzy environment, called the Pythagorean fuzzy fractional differential …

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 …

Fuzzy Laplace transform method for a fractional fuzzy economic model based on market equilibrium

F Babakordi, T Allahviranloo, MR Shahriari, M Catak - Information Sciences, 2024 - Elsevier
Fuzzy fractional models are of interest because they are very effective in describing real-
world problems, but the analytical investigation of these models is often complex. Therefore …

[HTML][HTML] Solving Pythagorean fuzzy partial fractional diffusion model using the Laplace and Fourier transforms

M Akram, T Ihsan - Granular Computing, 2023 - Springer
Many mathematical models describe the Corona virus disease 2019 (COVID-19) outbreak;
however, they require advance mathematical skills. The need for this study is to determine …

Manifestation of interval uncertainties for fractional differential equations under conformable derivative

M Rahaman, SP Mondal, S Alam, ASM Metwally… - Chaos, Solitons & …, 2022 - Elsevier
We propose a generalization of conformable calculus for Type-2 interval-valued functions.
We investigated the differentiability and integrability properties of such functions. The …

Study of Third‐Grade Fluid under the Fuzzy Environment with Couette and Poiseuille Flows

M Nadeem, I Siddique, R Ali… - Mathematical …, 2022 - Wiley Online Library
In this work, fundamental flow problems, namely, Couette flow, fully developed plane
Poiseuille flow, and plane Couette–Poiseuille flow of a third-grade non-Newtonian fluid …