Series and closed form solution of Caputo time-fractional wave and heat problems with the variable coefficients by a novel approach
The mathematical efficiency of fractional-order differential equations in modeling real
systems has been established. The first-order and second-order time derivatives are …
systems has been established. The first-order and second-order time derivatives are …
[HTML][HTML] Propagation of damped SH waves on nonhomogeneous elastic composites involving viscoelasticity, generalized interface, rotation and mechanical loading
RI Nuruddeen, AM Mubaraki - Ain Shams Engineering Journal, 2024 - Elsevier
The study analyzes damped elastic waves on a loaded rotating two-layered cylindrical
composite in the presence of sliding interfacial conditions. The sense of shear horizontal …
composite in the presence of sliding interfacial conditions. The sense of shear horizontal …
Optical soliton solutions of generalized Pochammer Chree equation
This research investigates the utilization of a modified version of the Sardar sub-equation
method to discover novel exact solutions for the generalized Pochammer Chree equation …
method to discover novel exact solutions for the generalized Pochammer Chree equation …
Asymptotic Consideration of Rayleigh Waves on a Coated Orthorhombic Elastic Half-Space Reinforced Using an Elastic Winkler Foundation
AM Mubaraki - Mathematical and Computational Applications, 2023 - mdpi.com
This article derives approximate formulations for Rayleigh waves on a coated orthorhombic
elastic half-space with a prescribed vertical load acting as an elastic Winkler foundation. In …
elastic half-space with a prescribed vertical load acting as an elastic Winkler foundation. In …
Closed-form asymptotic solution for the transport of chlorine concentration in composite pipes
Recently, some researchers have revisited the analysis of chlorine transportation in
cylindrical pipes by deploying a coupling between the Laplace transform method and the …
cylindrical pipes by deploying a coupling between the Laplace transform method and the …
A numerical study for nonlinear time-space fractional reaction-diffusion model of fourth-order
In this article, we discuss the fractional temporal-spatial reaction-diffusion model with
Neumann boundary conditions in one-and two-dimensional cases. The problem is solved by …
Neumann boundary conditions in one-and two-dimensional cases. The problem is solved by …
Analytical solutions of the Rn radon diffusion-advection equation through soil using Atangana–Baleanu time fractional derivative
AA Atangana Likéné, JE Ndjana Nkoulou… - Indian Journal of …, 2024 - Springer
In this paper, we propose a mathematical model based on the fractality of time to describe
and predict the radon diffusion-advection process through soil. For a given decay …
and predict the radon diffusion-advection process through soil. For a given decay …