Analysis of soliton solutions with different wave configurations to the fractional coupled nonlinear Schrödinger equations and applications

J Ahmad, Z Mustafa - Optical and Quantum Electronics, 2023 - Springer
In this research, we address the problem of solving (1+ 1)-dimensional fractional coupled
nonlinear Schrödinger equations (FCNLSE) with beta derivatives, which are essential for …

Goufo-Caputo fractional viscoelastic photothermal model of an unbounded semiconductor material with a cylindrical cavity

H Alfadil, AE Abouelregal, M Marin… - Mechanics of Advanced …, 2024 - Taylor & Francis
In order to describe the photothermal dynamic behavior of viscoelastic semiconductor
materials, the authors of this work propose a fractional modification of the Kelvin-Voigt type …

[PDF][PDF] A Review on Algorithms of Laplace Adomian Decomposition Method for FPDEs

MA Hussein - Scientific Research Journal of Multidisciplinary, 2022 - researchgate.net
A Review on Algorithms of Laplace Adomian Decomposition Method for FPDEs Page 1
Scientific Research Journal of Multidisciplinary Abbreviated Key Title:Sci. Res. Jr Multidisc …

[PDF][PDF] A Review on Algorithms of Sumudu Adomian Decomposition Method for FPDEs

MA Hussein - Journal of Research in Applied Mathematics, 2022 - researchgate.net
A Review on Algorithms of Sumudu Adomian Decomposition Method for FPDEs Page 1
Quest Journals Journal of Research in Applied Mathematics Volume 8 ~ Issue 8 (2022) pp …

Analysis of fractional differential equations with Antagana-Baleanu fractional operator

MA Hussein - Mathematics and Computational Sciences, 2022 - mcs.qut.ac.ir
To solve fractional-order differential equations (FODEs) with Antagana-Baleanu fractional
operator (ABFO), an efficient strategy based on variational iteration method (VIM) and …

[PDF][PDF] A New Numerical Solutions of Fractional Differential Equations with Atangana-Baleanu operator in Reimann sense

MA Hussein, HK Jassim, AB Jaafer - International Journal of …, 2022 - researchgate.net
Fractional calculus techniques are effectively used in many fields of science and
engineering, one of the techniques is the Sumuduhomotopy permutation method (SHPM) …

Effect of nonlocality and Goufo-Caputo kernel in heat transfer nonsimple model within an infinite-length hollow cylinder subjected to diverse sectional heat supply

N Karde, D Kamdi, V Varghese - Journal of Thermal Stresses, 2024 - Taylor & Francis
This paper aims to derive the mathematical model of modified heat conduction by utilizing
the Goufo-Caputo fractional operator in an infinite-length cylinder subjected to various time …

[PDF][PDF] The Fractional Fokker-Planck Equation Analysis with the Caputo-Fabrizio Operator

MA Hussein, HA Eaued, AB Jaafer - INTERNATIONAL JOURNAL OF …, 2022 - academia.edu
The Fractional Fokker-Planck Equation Analysis with the Caputo-Fabrizio Operator Page 1
INTERNATIONAL JOURNAL OF MULTIDISCIPLINARY RESEARCH AND ANALYSIS ISSN(print) …

New generalized integral transform via Dzherbashian-Nersesian fractional operator

R Belgacem, A Bokhari, D Baleanu, S Djilali - An International Journal of …, 2024 - ijocta.org
In this paper, we derive a new generalized integral transform on Dzherbashian–Nersesian
fractional operator and give some special cases. We make a generalization of the …

[PDF][PDF] An Approximation Approach for Solving FPDEs with the Atangana-Baleanu Operator

HA Eaued, MA Hussein, AB Jaafer - International Journal of …, 2022 - researchgate.net
This paper discusses the natural homotopy permutation approach as follows, Definitions
and attributes connected to this work are stated, and the technique's algorithm is also …