Results 41 to 50 of about 1,624,926 (272)

A Müntz spectral method for solving fractional Fredholm integro–differential equations with convergence analysis

Alexandria Engineering Journal
The solutions of fractional order equations might involve certain fractional-power terms that classical orthogonal polynomials connot match. Consequently, the advancement of effective numerical methods using generalized orthogonal polynomials such as ...
Jabbar Mahdy Hadaad, Masoud Allame, Habeeb Abed Kadhim Aal-Rkhais, Majid Tavassoli-Kajani   +3 more
doaj   +1 more source

Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater.

PLoS ONE, 2023
The study presents a meshless computational approach for simulating the three-dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo sense. The methodology combines a stable Crank-Nicolson time-integration scheme with the
Imtiaz Ahmad, Ihteram Ali, Rashid Jan, Sahar Ahmed Idris, Mohamed Mousa   +4 more
doaj   +1 more source

Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion

Advanced Materials, EarlyView.
This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang, Gonzalo Rivera‐Sierra, Shirin Siahjani‐Gultekin, Jenifer Rubio‐Magnieto, Anis Allagui, Ignacio Sanjuán, David Franco, Antonio Guerrero, Enrique H. Balaguera, Juan Bisquert   +9 more
wiley   +1 more source

Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations

Journal of Function Spaces, 2020
In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in ...
Feng Gao, Chunmei Chi
doaj   +1 more source

A New Mixed Fractional Derivative with Applications in Computational Biology

Computation
This study develops a new definition of a fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels.
Khalid Hattaf
doaj   +1 more source

Novel Fractional Models Compatible with Real World Problems

Fractal and Fractional, 2019
In this paper, some real world modeling problems: vertical motion of a falling body problem in a resistant medium, and the Malthusian growth equation, are considered by the newly defined Liouville–Caputo fractional conformable derivative and the modified
Ramazan Ozarslan, Ahu Ercan, Erdal Bas
doaj   +1 more source

The Error Incurred in Using the Caputo-Derivative Laplace-Transform

, 2009
This paper considers the initialization of fractional-order differential equations. The initialization responses obtained using the Caputo derivative are compared with the exact initialization responses from the Riemann-Liouville definition of the ...
Tom T. Hartley, Carl F. Lorenzo
core   +1 more source

Kenyan Farmers' Policy Priorities During Economic Crisis and Stability: Insights From a Best‐Worst Scaling Experiment

Applied Economic Perspectives and Policy, EarlyView.
ABSTRACT Amid rising food and fertilizer prices, understanding farmers' policy preferences is critical for effective crisis response. We use best‐worst scaling experiment to assess Kenyan mobile‐owning crop farmers' preferences for government support under high and normal price scenarios.
Mywish K. Maredia, John Olwande, Jacob Ricker‐Gilbert, David L. Mather, Nicole M. Mason   +4 more
wiley   +1 more source

Double ARA-Sumudu decomposition method for the solution of linear fractional partial integro-differential equations [PDF]

Mathematics and Computational Sciences
This paper focuses on deriving the exact solution to the linear fractional partial integro-differential equation through the application of the double ARA-Sumudu transform.
Jagdish Nanaware, Akshaykumar Dongardive
doaj   +1 more source

Barycentric Interpolation Collocation Method for Solving Fractional Linear Fredholm-Volterra Integro-Differential Equation

Journal of Function Spaces, 2023
In this article, barycentric interpolation collocation method (BICM) is presented to solve the fractional linear Fredholm-Volterra integro-differential equation (FVIDE).
Jin Li, Kaiyan Zhao, Xiaoning Su
doaj   +1 more source