The multi-parameterized integral inequalities for multiplicative Riemann–Liouville fractional integrals

T Du, Y Long - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
Abstract Using the multiplicative Riemann–Liouville fractional integrals, for⁎⁎ differentiable
functions, we present a fractional integral identity together with multi-parameters. Relying on …

[HTML][HTML] The Layla and Majnun mathematical model of fractional order: stability analysis and numerical study

M Izadi, N Sene, W Adel, A El-Mesady - Results in Physics, 2023 - Elsevier
In this research paper, we investigate the numerical solutions of the nonlinear complex
Layla and Majnun fractional mathematical model, which describes the emotional behavior of …

The fractional-order marriage–divorce mathematical model: numerical investigations and dynamical analysis

M Izadi, P Veeresha, W Adel - The European Physical Journal Plus, 2024 - Springer
In this research, we present a fractional-order mathematical model that simulates the
ongoing phenomenon of marriage and divorce, which significantly impacts human lives. The …

[HTML][HTML] Study the behavior of soliton solution, modulation instability and sensitive analysis to fractional nonlinear Schrödinger model with Kerr Law nonlinearity

Y Chahlaoui, A Ali, S Javed - Ain Shams Engineering Journal, 2024 - Elsevier
Abstract The Fractional Nonlinear Schrödinger Model (FNLSM) with Kerr law nonlinearity, a
popular model for simulating a variety of physical events, is the subject of this study. Our …

Asymptotic constancy for solutions of abstract non-linear fractional equations with delay and generalized Hilfer (a, b, α)-derivatives

M Kostić, HC Koyuncuoğlu, T Katıcan - Chaos, Solitons & Fractals, 2025 - Elsevier
In this paper, we investigate the asymptotic constancy for solutions of abstract non-linear
fractional differential (difference) equations with delay and generalized Hilfer (a, b, α) …

[PDF][PDF] Novel Approach by shifted Fibonacci polynomials for solving the fractional Burgers equation

MH Alharbi, AF Abu Sunayh, AG Atta… - Fractal and …, 2024 - researchgate.net
This paper analyzes a novel use of the shifted Fibonacci polynomials (SFPs) to treat the
timefractional Burgers equation (TFBE). We first develop the fundamental formulas of these …

Highly accurate method for boundary value problems with robin boundary conditions

HM Ahmed - Journal of Nonlinear Mathematical Physics, 2023 - Springer
The main aim of the current paper is to construct a numerical algorithm for the numerical
solutions of second-order linear and nonlinear differential equations subject to Robin …

[PDF][PDF] On linearization coefficients of shifted Jacobi polynomials

HM Ahmed, WM Abd-Elhameed - Contemporary Mathematics, 2024 - ojs.wiserpub.com
On Linearization Coefficients of Shifted Jacobi Polynomials Page 1 Contemporary Mathematics
http://ojs.wiserpub.com/index.php/CM/ Research Article On Linearization Coefficients of Shifted …

[HTML][HTML] Design of integrated evolutionary finite differences for nonlinear electrohydrodynamics ion drag flow in cylindrical conduit model

I Jadoon, MAZ Raja, SE Awan, SA Shah… - Alexandria Engineering …, 2024 - Elsevier
This research implements an evolutionary optimized finite differences scheme (FDS) for
nonlinear electrohydrodynamics ion drag flow dynamics in a cylindrical conduit (EHD …

Robust and accurate numerical framework for multi-dimensional fractional-order telegraph equations using Jacobi/Jacobi-Romanovski spectral technique

MA Abdelkawy, M Izadi, W Adel - Boundary Value Problems, 2024 - Springer
This paper presents a novel spectral algorithm for the numerical solution of multi-
dimensional fractional-order telegraph equations, a critical model used to capture the …