A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
Mathematical biology is one of the interesting research area of applied mathematics that
describes the accurate description of phenomena in biology and related health issues. The …
describes the accurate description of phenomena in biology and related health issues. The …
A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials
Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …
and health care evaluation. Nowadays, research on disease models with anonymous …
An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator
The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …
A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force
This work suggested a new generalized fractional derivative which is producing different
kinds of singular and nonsingular fractional derivatives based on different types of kernels …
kinds of singular and nonsingular fractional derivatives based on different types of kernels …
The role of vitamins in autism spectrum disorder: what do we know?
Vitamin or mineral supplementation is considered to be the most commonly used medical
treatment for autism spectrum disorder (ASD), in addition to other interventions such as …
treatment for autism spectrum disorder (ASD), in addition to other interventions such as …
A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws
The present article deals with the exothermic reactions model having constant heat source
in the porous media with strong memory effects. The Caputo, Caputo-Fabrizio and Atangana …
in the porous media with strong memory effects. The Caputo, Caputo-Fabrizio and Atangana …
A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence
The main objective of this research is to investigate a new fractional mathematical model
involving a nonsingular derivative operator to discuss the clinical implications of diabetes …
involving a nonsingular derivative operator to discuss the clinical implications of diabetes …
Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel
C Baishya, P Veeresha - Proceedings of the Royal …, 2021 - royalsocietypublishing.org
The Atangana–Baleanu derivative and the Laguerre polynomial are used in this analysis to
define a new computational technique for solving fractional differential equations. To serve …
define a new computational technique for solving fractional differential equations. To serve …
[HTML][HTML] A novel design of fractional Meyer wavelet neural networks with application to the nonlinear singular fractional Lane-Emden systems
In this study, a novel stochastic computational frameworks based on fractional Meyer
wavelet artificial neural network (FMW-ANN) is designed for nonlinear-singular fractional …
wavelet artificial neural network (FMW-ANN) is designed for nonlinear-singular fractional …
[HTML][HTML] Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method
Abstract Very recently, Yang, Abdel-Aty and Cattani (2019) introduced a new and intersting
fractional derivative operator with non-singular kernel involving Rabotnov fractional …
fractional derivative operator with non-singular kernel involving Rabotnov fractional …