An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law

K Hosseini, M Ilie, M Mirzazadeh… - … Methods in the Applied …, 2021 - Wiley Online Library
The main aim of the current article is considering a nonlinear time‐fractional Cauchy
reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate …

Dynamic and pull-in instability analyses of functionally graded nanoplates via nonlocal strain gradient theory

J Torabi, R Ansari, A Zabihi… - Mechanics Based Design …, 2022 - Taylor & Francis
The main subject of this study is the dynamic and static pull-in analyses of rectangular
nanoplates made of functionally graded materials based on the nonlocal strain gradient …

A novel technique for (2+ 1)-dimensional time-fractional coupled Burgers equations

P Veeresha, DG Prakasha - Mathematics and Computers in Simulation, 2019 - Elsevier
In the present work, the numerical solutions for time-fractional coupled Burgers equations
are obtained with the aid of q-homotopy analysis transform method (q-HATM). The study of …

Interaction of transverse pressure and in-plane internal stresses on bi-stability of electrostatically rectangular microplates

S Kumar, A Bhushan - Engineering Research Express, 2023 - iopscience.iop.org
Bi-stability behavior is commonly observed in an electrostatically actuated pressurised or
initially curved microplates. Additionally, presence of in-plane internal stresses considerably …

A semi-analytical methodology for predicting the vibroacoustic response of functionally graded nanoplates under thermal loads

F Samadani - Mechanics Based Design of Structures and Machines, 2024 - Taylor & Francis
In this investigation, the analysis of the nonlinear vibroacoustic and sound transmission loss
behaviors of nanoplates made of functionally graded materials considering the nonlocal …

Effects of geometric nonlinearity on the pull-in instability of circular microplates based on modified strain gradient theory

A Zabihi, J Torabi, R Ansari - Physica Scripta, 2020 - iopscience.iop.org
Presented in this study is an analytical investigation on the size-dependent nonlinear
vibration and pull-in instability of circular microplates subjected to the electrostatic, Casimir …

An analytical treatment for pull-in instability of circular nanoplates based on the nonlocal strain gradient theory with clamped boundary condition

A Zabihi, R Ansari, J Torabi, F Samadani… - Materials Research …, 2019 - iopscience.iop.org
This paper is interested in the development of an analytical model for describing the
dynamic pull-in instability of circular nanoplates based on the nonlocal strain gradient theory …

Nonlinear pull-in instability of rectangular nanoplates based on the positive and negative second-order strain gradient theories with various edge supports

A Zabihi, R Ansari, K Hosseini, F Samadani… - … für Naturforschung A, 2020 - degruyter.com
Based on the positive and negative second-order strain gradient theories along with
Kirchhoff thin plate theory and von Kármán hypothesis, the pull-in instability of rectangular …

[PDF][PDF] Nonlinear Vibroacoustic Analysis of Functionally Graded

F Samadani, SR Kazemi - doc.global-sci.org
In this investigation, the analysis of the nonlinear vibroacoustic and sound transmission loss
behaviors of plates made of functionally graded material is presented. It is assumed that the …

Research on visual optimization design of machine–machine interface for mechanical industrial equipment based on nonlinear partial equations

Y Yan, B Zeng, FA Alqurashi… - Applied Mathematics and …, 2021 - sciendo.com
Methods Nonlinear partial differential equations, also known as nonlinear mathematical
physics equations or nonlinear evolution equations, are used in this paper. It is a …