Periodic property and instability of a rotating pendulum system
The current paper investigates the dynamical property of a pendulum attached to a rotating
rigid frame with a constant angular velocity about the vertical axis passing to the pivot point …
rigid frame with a constant angular velocity about the vertical axis passing to the pivot point …
Trivariate Mittag-Leffler functions used to solve multi-order systems of fractional differential equations
Linear systems of fractional differential equations have been studied from various points of
view: applications to electric circuit theory, approximate solutions by numerical methods, and …
view: applications to electric circuit theory, approximate solutions by numerical methods, and …
Langevin differential equations with general fractional orders and their applications to electric circuit theory
Multi-order fractional differential equations have been studied due to their applications in
modeling, and solved using various mathematical methods. We present explicit analytical …
modeling, and solved using various mathematical methods. We present explicit analytical …
Design of neuro-swarming computational solver for the fractional Bagley–Torvik mathematical model
This study is to introduce a novel design and implementation of a neuro-swarming
computational numerical procedure for numerical treatment of the fractional Bagley–Torvik …
computational numerical procedure for numerical treatment of the fractional Bagley–Torvik …
Nonlinear EHD instability of two-superposed Walters' B fluids moving through porous media
The current work examines the application of the viscous potential flow to the Kelvin-
Helmholtz instability (KHI) of a planar interface between two visco-elastic Walters' B fluids …
Helmholtz instability (KHI) of a planar interface between two visco-elastic Walters' B fluids …
The Rank Upgrading Technique for a Harmonic Restoring Force of Nonlinear Oscillators
YO El-Dib, R Matoog - Journal of Applied and Computational …, 2021 - jacm.scu.ac.ir
An enhanced analytical technique for nonlinear oscillators having a harmonic restoring force
is proposed. The approach is passed on the change of the auxiliary operator by another …
is proposed. The approach is passed on the change of the auxiliary operator by another …
[HTML][HTML] A class of Langevin time-delay differential equations with general fractional orders and their applications to vibration theory
Langevin differential equations with fractional orders play a significant role due to their
applications in vibration theory, viscoelasticity and electrical circuits. In this paper, we mainly …
applications in vibration theory, viscoelasticity and electrical circuits. In this paper, we mainly …
Analysis of positive fractional-order neutral time-delay systems
In this paper, we consider an initial value problem for linear matrix coefficient systems of the
fractional-order neutral differential equations with two incommensurate constant delays in …
fractional-order neutral differential equations with two incommensurate constant delays in …
[HTML][HTML] A convergence-preserving non-standard finite difference scheme for the solutions of singular Lane-Emden equations
The derivation of numerical schemes for the solution of Lane-Emden equations requires
meticulous consideration because they are highly nonlinear in nature; have singularity …
meticulous consideration because they are highly nonlinear in nature; have singularity …
Controllability of fractional stochastic delay dynamical systems
In this paper, we consider Caputo type fractional stochastic time-delay system with
permutable matrices. We derive stochastic analogue of variation of constants formula via a …
permutable matrices. We derive stochastic analogue of variation of constants formula via a …