Zobrazeno 1 - 10
of 164
pro vyhledávání: '"Non-singular kernel"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27058-27079 (2024)
In this study, we proved existence results for nonlinear implicit fractional differential equations with the Caputo version of the Atangana-Baleanu derivative, subject to the boundary and nonlocal initial conditions. The Kuratowski's measure of non-c
Externí odkaz:
https://doaj.org/article/48be9318e54f4ff0bf473ed2478b137f
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18374-18402 (2024)
The objective of this study was to investigate the thermodynamic reactions of thermoelastic materials by utilizing a modified mathematical fractional thermoelastic model. This model combines a fractional derivative with Rabotnov's exponential kernel
Externí odkaz:
https://doaj.org/article/37f05a3feac9498dac803bfe35cc99cb
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 15129-15147 (2023)
In this study, we attempt to obtain the approximate solution for the time-space fractional linear and nonlinear diffusion equations. A finite difference approach is given for the solution of both linear and nonlinear fractional order diffusion proble
Externí odkaz:
https://doaj.org/article/ea679bfdab414c5c84a74d6a7c8d54c3
Publikováno v:
Alexandria Engineering Journal, Vol 66, Iss , Pp 597-606 (2023)
The SARS-CoV-2 pandemic is an urgent problem with unpredictable properties and is widespread worldwide through human interactions. This work aims to use Caputo-Fabrizio fractional operators to explore the complex action of the Covid-19 Omicron varian
Externí odkaz:
https://doaj.org/article/d07db505605a4744b665d316adb7ac70
Publikováno v:
Fractal and Fractional, Vol 8, Iss 4, p 182 (2024)
This article presents a new thermoelastic model that incorporates fractional-order derivatives of two-phase heat transfer as well as a two-temperature concept. The objective of this model is to improve comprehension and forecasting of heat transport
Externí odkaz:
https://doaj.org/article/871edd217bac40f6af2877bc2b83e5fa
Publikováno v:
Nonlinear Engineering, Vol 11, Iss 1, Pp 35-46 (2022)
Delayed response (delay of the elasticity) and time needed for initial stress can lead to relaxation and retardation phenomenon; this is because of the consistent behavior of viscoelastic fluid on thermodynamic principles. In this context, the aim of
Externí odkaz:
https://doaj.org/article/0bdd55df16a24285a4ed9fa75593dc51
Publikováno v:
Mathematical Biosciences and Engineering, Vol 19, Iss 5, Pp 4341-4367 (2022)
In this paper, the recent trends of COVID-19 infection spread have been studied to explore the advantages of leaky vaccination dynamics in SEVR (Susceptible Effected Vaccinated Recovered) compartmental model with the help of Caputo-Fabrizio (CF) and
Externí odkaz:
https://doaj.org/article/b6c31b76e70c42dabcb4072b48e78f2d
Autor:
Ram Singh, Attiq U. Rehman, Mehedi Masud, Hesham A. Alhumyani, Shubham Mahajan, Amit K. Pandit, Praveen Agarwal
Publikováno v:
AIMS Mathematics, Vol 7, Iss 4, Pp 5175-5198 (2022)
In this study, a mathematical model for the differentiation of stem cells is proposed to understand the dynamics of cell differentiation in a complex network. For this, myeloid cells, which are differentiated from stem cells, are introduced in this s
Externí odkaz:
https://doaj.org/article/3a0b0d1b8a4e42c48749e4804fc21725
Autor:
George A. Anastassiou
Publikováno v:
Проблемы анализа, Vol 10 (28), Iss 3, Pp 15-30 (2021)
We introduce here Caputo and Riemann-Liouville type non singular kernel very general multi parameter left and right side fractional derivatives and we prove their continuity. These have the advantage to describe accurately complex situations and phen
Externí odkaz:
https://doaj.org/article/15db81375afc4954b64c4cef9b89fb6e
Publikováno v:
Alexandria Engineering Journal, Vol 59, Iss 4, Pp 2649-2676 (2020)
In this work, we have investigated the fractional differential equation to describe the motion of a linear oscillator using fractional derivative operators with or without singular kernels. In order to be consistent with the physical systems the valu
Externí odkaz:
https://doaj.org/article/80e6759d5ba040719e73b7c8a3875832