Results 61 to 70 of about 179 (138)

Supply chain risk in grain trading: Inventories as real options for shipping grain

Agribusiness, Volume 42, Issue 1, Page 175-195, Winter 2026.
Abstract Integrating trading and logistics is an important challenge in commodity trading. Trading and logistics are strategic decisions and are integral to most commodities including grain shipping by rail, in addition to other modes (barges, ocean shipping). There are substantial risks, such as the ordering and placement of rail cars.
William W. Wilson, Jesse Klebe
wiley   +1 more source

Review of the Fractional Black-Scholes Equations and Their Solution Techniques

Fractal and Fractional
The pioneering work in finance by Black, Scholes and Merton during the 1970s led to the emergence of the Black-Scholes (B-S) equation, which offers a concise and transparent formula for determining the theoretical price of an option. The establishment of
Hongmei Zhang, Mengchen Zhang, Fawang Liu, Ming Shen   +3 more
doaj   +1 more source

Drivers of Hirola Antelope Diet Selection in Natural and Managed Habitat in Eastern Kenya

Ecology and Evolution, Volume 16, Issue 1, January 2026.
Hirola (Beatragus hunteri) populations in eastern Kenya consumed 17 forage species, favoring the grass Chloris virgata and the forbs Commelina benghalensis and C. diffusa. Nutrient analyses showed that natural habitats offered higher phosphorus, magnesium, and digestibility, whereas managed sites provided more sodium, potassium, and crude protein, with
Abdullahi H. Ali, S. Kivai
wiley   +1 more source

An Efficient Numerical Scheme for a Time-Fractional Black–Scholes Partial Differential Equation Derived from the Fractal Market Hypothesis

Fractal and Fractional
Since the early 1970s, the study of Black–Scholes (BS) partial differential equations (PDEs) under the Efficient Market Hypothesis (EMH) has been a subject of active research in financial engineering.
Samuel M. Nuugulu, Frednard Gideon, Kailash C. Patidar   +2 more
doaj   +1 more source

Radial Basis Function Neural Network With Resilient Backpropagation for Solving Fractional‐Order Chaotic Virotherapy Dynamics

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
The purpose of this work is to solve the fractional‐order model of chaotic virotherapy dynamics by executing a neural network scheme. The chaotic virotherapy dynamics is divided into four categories: uninfected tumor cells, infected tumor cells, immune cells, and virus‐free cells.
Zulqurnain Sabir, M. A. Abdelkawy, Muhammad Umar, Soheil Salahshour, Saira Bhatti, Smritijit Sen   +5 more
wiley   +1 more source

Memory‐Dependent Chaotic Dynamics and Stabilization of a Nonlinear Fractional‐Order Financial System With Optimal Control

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study presents an innovative nonlinear fractional‐order financial model that employs Caputo and Caputo–Fabrizio fractional derivatives to represent the dynamic interactions among interest rates, investment demand, price indices, and income/output. The model is formulated as a system of coupled nonlinear differential equations to encapsulate memory‐
Md. Asraful Islam, Razia Sultana, Payer Ahmed, Huaiqin Wu   +3 more
wiley   +1 more source

An Efficient Numerical Model for the Black–Scholes Equations

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, a novel numerical model for the Black–Scholes equations is developed. To address some potential issues that may arise when solving this equation using the conventional model, the original Black–Scholes equation is reformulated as a convection–diffusion equation. The Crank–Nicolson scheme is utilized to discretize the diffusion and source
Yan Zhou, Yunxing Zhang, Yufeng Xu
wiley   +1 more source

Fractional Order Stochastic Differential Equation with Application in European Option Pricing

Discrete Dynamics in Nature and Society, 2014
Memory effect is an important phenomenon in financial systems, and a number of research works have been carried out to study the long memory in the financial markets.
Qing Li, Yanli Zhou, Xinquan Zhao, Xiangyu Ge   +3 more
doaj   +1 more source

An interior penalty method for a parabolic complementarity problem involving a fractional Black-Scholes operator

Journal of Inequalities and Applications
In this paper, an interior penalty method is proposed to solve a parabolic complementarity problem involving fractional Black–Scholes operator arising in pricing American options under a geometric Lévy process.
Yarui Duan, Song Wang, Yuying Zhou, Leijun Zhu   +3 more
doaj   +1 more source

Numerical investigation of the fractional diffusion wave equation with exponential kernel via cubic B-Spline approach. [PDF]

PLoS One, 2023
Shafiq M, Abbas M, Emadifar H, Alzaidi AS, Nazir T, Aini Abdullah F.   +5 more
europepmc   +1 more source