30 citations · 84 across the 17 of their papers we have counts for
17 papers
Toward Realistic Energy Forecasting: A Delay-Enhanced Fractional-Order Supply-Demand Model
S. Naveen, S. Noeiaghdam
In order to represent the complex dynamics of contemporary energy systems, a novel fractional-order energy supply-demand model with time delay is presented in this investigation. T…
Fractal-Fractional HIV Dynamics with Mittag-Leffler Kernel: Analysis, Stability, and Numerical Simulations
Niaz Ali Shah, Samad Noeiaghdam
In this paper, a fractal--fractional HIV model with the Mittag--Leffler kernel is proposed using the Atangana--Baleanu--Caputo operator to capture the memory and hereditary propert…
Analysis of a Stochastic Energy Supply and Demand Model with Renewable Integration
S. O. Edeki, S. Noeiaghdam, L. Hairong +2
In this work, a stochastic energy supply-demand model with renewable integration is developed and analyzed. The basic nonlinear deterministic model describing the relationship amon…
A Chebyshev--Ritz Spectral Framework for Nonlinear Vibration of CNT-Reinforced Composite Beams
Maryam Jalili, Samad Noeiaghdam
This study develops a spectral Ritz formulation for the nonlinear free vibration analysis of carbon nanotube-reinforced composite (CNTRC) beams. Boundary-adapted Chebyshev basis fu…
Solving Nonlinear Energy Supply and Demand System Using Physics-Informed Neural Networks
Van Truong Vo, Samad Noeiaghdam, Denis Sidorov +2
Nonlinear differential equations and systems play a crucial role in modeling systems where time-dependent factors exhibit nonlinear characteristics. Due to their nonlinear nature,…
Existence and Uniqueness of the Solution of Two-dimensional Fuzzy Volterra Integral Equation with Piecewise Kernel
Samad Noeiaghdam
This study investigates the existence and uniqueness of solutions to Volterra integral equations with discontinuous kernels in both linear and nonlinear cases. The problem is two-d…
Fuzzy Volterra Integral Equation with Piecewise Continuous Kernel: Theory and Numerical Solution
Samad Noeiaghdam, Aliona I. Dreglea, Denis N. Sidorov
This study aims to discuss the existence and uniqueness of solution of fuzzy Volterra integral equation with piecewise continuous kernel. Such problems appears in many balance prob…
Numerical solution of fractional Fredholm integro-differential equations by spectral method with fractional basis functions
Y. Talaei, S. Noeiaghdam, H. Hosseinzadeh
This paper presents an efficient spectral method for solving the fractional Fredholm integro-differential equations. The non-smoothness of the solutions to such problems leads to t…
Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind
A. Tynda, S. Noeiaghdam, D. Sidorov
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gauss-type quadrat…
Control of accuracy on Taylor-collocation method for load leveling problem
Samad Noeiaghdam, Denis Sidorov, Ildar Muftahov +1
High penetration of renewable energy sources coupled with the decentralization of transport and heating loads in future power systems will result in even more complex unit commitme…
Wave solutions of Gilson-Pickering equation
Karmina Kamal Ali, Hemen Dutta, Resat Yilmazer +1
In this work, we apply the (1/G')-expansion method to produce the novel soliton solution of the Gilson-Pickering equation. This method is fundamental on homogeneous balance procedu…
An efficient method to solve the mathematical model of HIV infection for CD8+ T-cells
Samad Noeiaghdam, Emran Khoshrouye Ghiasi
In this paper, the mathematical model of HIV infection for CD8+ T-cells is illustrated. The homotopy analysis method and the Laplace transformations are combined for solving this m…
Numerical approximation of modified non-linear SIR model of computer viruses
Samad Noeiaghdam
In this paper, the non-linear modified epidemiological model of computer viruses is illustrated. For this aim, two semi-analytical methods, the differential transform method (DTM)…
Control of accuracy on Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method
Samad Noeiaghdam, Denis Sidorov, Valery Sizikov
Finding the optimal parameters and functions of iterative methods is among the main problems of the Numerical Analysis. For this aim, a technique of the stochastic arithmetic (SA)…
A novel technique to solve the fuzzy system of equations
Nasser Mikaeilvand, Zahra Noeiaghdam, Samad Noeiaghdam +1
The aim of this research is to apply a novel technique based on the embedding method to solve the n*n fuzzy system of linear equations (FSLEs). By using this method, the strong fuz…
Solving a non-linear model of HIV infection for CD4+T cells by combining Laplace transformation and Homotopy analysis method
Samad Noeiaghdam, Emran Khoshrouye Ghiasi
The aim of this paper is to find the approximate solution of HIV infection model of CD4+T cells. For this reason, the homotopy analysis transform method (HATM) is applied. The pres…
Solving generalized Abel's integral equations of the first and second kinds via Taylor-collocation method
Eisa Zarei, Samad Noeiaghdam
The aim of this paper is to present an efficient numerical procedure to approximate the generalized Abel's integral equations of the first and second kinds. For this reason, the Ta…