Generalized defensive modeling of malware propagation in WSNs using atangana–baleanu–caputo (ABC) fractional derivative

V Srivastava, PK Srivastava, J Mishra, RP Ojha… - IEEE …, 2023 - ieeexplore.ieee.org
The malware spreading in Wireless Sensor Network (WSN) has lately attracted the attention
of many researchers as a hot problem in nonlinear systems. WSN is a collection of sensor …

Advanced fractional calculus, differential equations and neural networks: Analysis, modeling and numerical computations

D Baleanu, Y Karaca, L Vázquez… - Physica Scripta, 2023 - iopscience.iop.org
Most physical systems in nature display inherently nonlinear and dynamical properties;
hence, it would be difficult for nonlinear equations to be solved merely by analytical …

[HTML][HTML] Study of 1+ 1 dimensional fractional order non-linear Benney equation using an analytical technique

I Ahmad, KJ Ansari, H Alrabaiah, D Santina… - … Differential Equations in …, 2024 - Elsevier
The area related to fractional order partial differential equations (FOPDEs) has also attracted
attention. Therefore, we focuss our attention to study nonlinear Benney equations of using …

[HTML][HTML] Solutions of fractional differential equations by using a blend of variational iteration method with Sumudu transform and application to price adjustment …

MO Aibinu, S Moyo - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
The presence of delays in a mathematical model can improve its vitality and suitability in
describing several phenomena. However, in the presence of delays, nonlinear fractional …

An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

S Kumar, V Gupta - Journal of Computational and …, 2024 - asmedigitalcollection.asme.org
In this study, we compute and analyze the numerical solution of fractional coupled
Boussinesq equations using fractional-order Laguerre operational matrices of differentiation …

[HTML][HTML] A Comparative Study of Adomian Decomposition Method with Variational Iteration Method for Solving Linear and Nonlinear Differential Equations

SK Al Baghdadi, NA Ahammad - Journal of Applied Mathematics and …, 2024 - scirp.org
This study compares the Adomian Decomposition Method (ADM) and the Variational
Iteration Method (VIM) for solving nonlinear differential equations in engineering. Differential …

An Efficient Numerical Scheme for a Class of Integro-Differential Equations with it's Convergence and Error Analysis.

SM Seyedi, E Hesameddini - Journal of Mathematical …, 2023 - search.ebscohost.com
In this article, the current work suggests an efficient numerical approximation based on an
operational matrix of Bernstein Polynomials to obtain numerical solution of high-order of …

An efficient numerical scheme for a class of integro-differential equations with its convergence and error analysis

E Hesameddini, SM Seyedi - JOURNAL OF MATHEMATICAL …, 2024 - ijmex.com
In this article an efficient numerical approximation based on operational matrix of Bernstein
Polynomials is used to obtain numerical solution of high order of integro-differential …