A general form of the generalized Taylor's formula with some applications
In this article, a new general form of fractional power series is introduced in the sense of the
Caputo fractional derivative. Using this approach some results of the classical power series …
Caputo fractional derivative. Using this approach some results of the classical power series …
[PDF][PDF] Application of fractional differential equation in economic growth model: A systematic review approach
Application of fractional differential equation in economic growth model: A systematic review
approach Page 1 AIMS Mathematics, 6(9): 10266–10280. DOI: 10.3934/math.2021594 …
approach Page 1 AIMS Mathematics, 6(9): 10266–10280. DOI: 10.3934/math.2021594 …
[BOOK][B] Fractional operators with constant and variable order with application to geo-hydrology
A Atangana - 2017 - books.google.com
Fractional Operators with Constant and Variable Order with Application to Geo-hydrology
provides a physical review of fractional operators, fractional variable order operators, and …
provides a physical review of fractional operators, fractional variable order operators, and …
Analysis of time-fractional Hunter-Saxton equation: a model of neumatic liquid crystal
In this work, a theoretical study of diffusion of neumatic liquid crystals was done using the
concept of fractional order derivative. This version of fractional derivative is very easy to …
concept of fractional order derivative. This version of fractional derivative is very easy to …
Sensitivity analysis and analytical study of the three-component coupled NLS-type equations in fiber optics
MH Rafiq, N Jannat, MN Rafiq - Optical and Quantum Electronics, 2023 - Springer
This study attempts to investigate the dynamic study of the three-component coupled NLS-
type equations. The unified Riccati equation expansion method and the generalized …
type equations. The unified Riccati equation expansion method and the generalized …
Application of Adomian decomposition method to nonlinear systems
W Li, Y Pang - Advances in difference Equations, 2020 - Springer
In this paper, we study the Adomian decomposition method (ADM for short) including its
iterative scheme and convergence analysis, which is a simple and effective technique in …
iterative scheme and convergence analysis, which is a simple and effective technique in …
Dynamical behavior of chaos, bifurcation analysis and soliton solutions to a Konno-Onno model
The fractional coupled Konno-Onno model, which is frequently used in numerous fields of
scientific and engineering disciplines, is being investigated in the current study in order to …
scientific and engineering disciplines, is being investigated in the current study in order to …
An efficient analytical approach to investigate fractional Caudrey–Dodd–Gibbon Equations with non-singular kernel derivatives
Fractional calculus is at this time an area where many models are still being developed,
explored, and used in real-world applications in many branches of science and engineering …
explored, and used in real-world applications in many branches of science and engineering …
[HTML][HTML] Variational iteration method for the Burgers' flow with fractional derivatives—new Lagrange multipliers
The flow through porous media can be better described by fractional models than the
classical ones since they include inherently memory effects caused by obstacles in the …
classical ones since they include inherently memory effects caused by obstacles in the …
[HTML][HTML] Multicomponent nonlinear fractional Schrödinger equation: On the study of optical wave propagation in the fiber optics
In this article, we investigate the soliton wave dynamics of the fractional three-component
coupled nonlinear Schrödinger equation. This equation is considered as a fundamental tool …
coupled nonlinear Schrödinger equation. This equation is considered as a fundamental tool …