An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator

S Kumar, S Ghosh, B Samet… - Mathematical Methods in …, 2020 - Wiley Online Library
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 …

Analytical and numerical study of the HIV‐1 infection of CD4+ T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome …

KK Ali, MS Osman, HM Baskonus… - … Methods in the …, 2023 - Wiley Online Library
In this paper, we introduce a numerical and analytical study of the HIV‐1 infection of CD4+ T‐
cells conformable fractional mathematical model. This model is studied analytically by …

A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods

S Kumar, S Ghosh, R Kumar… - Numerical Methods for …, 2021 - Wiley Online Library
Abstract The Lotka‐Volterra model is a very famous model and frequently used to describe
the dynamics of ecological systems in which two species interact, one a predator and one its …

[图书][B] Theory and applications of special functions for scientists and engineers

XJ Yang - 2021 - Springer
The main target of this monograph is to provide the detailed investigations to the newly
established special functions involving the Mittag-Leffler, Wiman, Prabhakar, Miller–Ross …

Time fractional Yang–Abdel–Cattani derivative in generalized MHD Casson fluid flow with heat source and chemical reaction

Sehra, H Sadia, SU Haq, I Khan - Scientific Reports, 2023 - nature.com
This present research article investigates the exact analytical solution for the mathematical
model of the generalized Casson fluid flow by using the new fractional operator with …

[HTML][HTML] A hybrid nanofluid flow near a highly magnetized heated wavy cylinder

T Salahuddin, N Siddique, M Khan, YM Chu - Alexandria Engineering …, 2022 - Elsevier
Fluids like hybrid nanofluids have great potential that present exceptional thermal behavior
and thermophysical properties as compare to ordinary nanofluids. Hybrid nanofluids are …

A neural network computational structure for the fractional order breast cancer model

Z Huang, Q Haider, Z Sabir, M Arshad, BK Siddiqui… - Scientific Reports, 2023 - nature.com
The current study provides the numerical performances of the fractional kind of breast
cancer (FKBC) model, which are based on five different classes including cancer stem cells …

Existence and uniqueness results for initial value problem of nonlinear fractional integro‐differential equation on an unbounded domain in a weighted Banach space

A Boulfoul, B Tellab, N Abdellouahab… - … Methods in the …, 2021 - Wiley Online Library
This article is concerned with the existence and uniqueness of solutions for nonlinear
fractional integro‐differential equation on an unbounded domain in a weighted Banach …

Characterization nanoparticles via Newtonian heating for fractionalized hybrid nanofluid in a channel flow

M Amir, Q Ali, KA Abro, A Raza - Journal of Nanofluids, 2023 - ingentaconnect.com
The characterization or measurement of the physical and chemical properties of
nanoparticles usually lies in the field of nanometrology based on the different …

Iterative method for solving one-dimensional fractional mathematical physics model via quarter-sweep and PAOR

A Sunarto, P Agarwal, J Sulaiman, JVL Chew… - Advances in Difference …, 2021 - Springer
This paper will solve one of the fractional mathematical physics models, a one-dimensional
time-fractional differential equation, by utilizing the second-order quarter-sweep finite …