Spatiotemporal (target) patterns in sub-diffusive predator-prey system with the Caputo operator
The pattern formation process is closely associated with a class of reaction-diffusion
problems arising in mathematical biology and chemistry which has generated a lot of …
problems arising in mathematical biology and chemistry which has generated a lot of …
Quadratic and cubic logistic models involving Caputo–Fabrizio operator
S Al Fahel, D Baleanu, QM Al-Mdallal… - The European Physical …, 2023 - Springer
In this paper, we numerically investigate the fractional quadratic and cubic logistic models
involving the Caputo–Fabrizio operator. We construct the successive iterations using the …
involving the Caputo–Fabrizio operator. We construct the successive iterations using the …
Analysis of the fractional-order local Poisson equation in fractal porous media
This paper investigates the fractional local Poisson equation using the homotopy
perturbation transformation method. The Poisson equation discusses the potential area due …
perturbation transformation method. The Poisson equation discusses the potential area due …
[HTML][HTML] Assessing the potential impact of COVID-19 Omicron variant: Insight through a fractional piecewise model
We consider a new mathematical model for the COVID-19 disease with Omicron variant
mutation. We formulate in details the modeling of the problem with omicron variant in …
mutation. We formulate in details the modeling of the problem with omicron variant in …
[HTML][HTML] Numerical investigation of unconditionally stable spline function for three-dimensional time-fractional telegraph equations
U Singh - Results in Control and Optimization, 2022 - Elsevier
Telegraph equations are hyperbolic partial differential equations that may be used to
represent reaction–diffusion processes in a variety of engineering and biological disciplines …
represent reaction–diffusion processes in a variety of engineering and biological disciplines …
Applications of the Nonstandard Finite Difference Method to a Fractional Model Explaining Diabetes Mellitus and Its Complications
This work examines a mathematical model of diabetes mellitus and its consequences in a
population using fractional differential equations. It attempts to solve the problem using a …
population using fractional differential equations. It attempts to solve the problem using a …
An Efficient Method for Solving Fractional Black‐Scholes Model with Index and Exponential Decay Kernels
The Black‐Scholes equation (BSe) is fascinating in the business world for predicting the
performance of financial investment valuation systems. The Caputo fractional derivative …
performance of financial investment valuation systems. The Caputo fractional derivative …
[PDF][PDF] DEVELOPMENT OF A NON-STANDARD FINITE DIFFERENCE METHOD FOR SOLVING A FRACTIONAL DECAY MODEL
S AL KATHIRI, E BASHIER… - J. Appl. Math. & …, 2024 - researchgate.net
In this paper we present a non-standard finite difference method for solving a fractional
decay model. The proposed NSFDM is constructed by incorporating a non-standard …
decay model. The proposed NSFDM is constructed by incorporating a non-standard …
The Generic Nonlocal Fractal Calculus
R Banchuin - Authorea Preprints, 2022 - advance.sagepub.com
The generic nonlocal fractal calculus scheme have been formulated in this work. A unified
derivative operator which employs an interpolated characteristic between the generic …
derivative operator which employs an interpolated characteristic between the generic …
[PDF][PDF] Analysis of the Fractional-Order Local Poisson Equation in Fractal Porous Media. Symmetry 2022, 14, 1323
This paper investigates the fractional local Poisson equation using the homotopy
perturbation transformation method. The Poisson equation discusses the potential area due …
perturbation transformation method. The Poisson equation discusses the potential area due …