Zobrazeno 1 - 10
of 409
pro vyhledávání: '"Atangana Baleanu fractional derivative"'
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 229-48 (2024)
In this work, we consider a class of fuzzy fractional delay integro-differential equations with the generalized Caputo-type Atangana-Baleanu (ABC) fractional derivative. By using the monotone iterative method, we not only obtain the existence and uni
Externí odkaz:
https://doaj.org/article/93cf00b2573f4a22a237bee6ff2400b8
Publikováno v:
Journal of King Saud University: Science, Vol 36, Iss 9, Pp 103329- (2024)
There has been a worldwide epidemic of heroin that has affected people, families, societies, and cultures across the world. Now, the heroin epidemic has transitioned from heroin abuse to the overuse of synthetic narcotics, which are widely accessible
Externí odkaz:
https://doaj.org/article/f5b48e4380c44b4fb6f44b0dc3523003
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100824- (2024)
In the present paper, a numerical method is developed for solving non-homogeneous two-dimensional fractional integro-differential equations with a modified Atangana–Baleanu fractional derivative. The approach is based on the operational matrix meth
Externí odkaz:
https://doaj.org/article/6dc47c1da75544f091b2a3a47d3d2af4
Autor:
Dumitru Baleanu, Hassan Kamil Jassim, Hijaz Ahmed, Jagdev Singh, Devendra Kumar, Rasool Shah, Lamees K. Alzaki, Muslim Y. Zayir, Mountassir H. Cherif, Mohammed A. Hussein, Kadhim A. Jabbar
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100741- (2024)
In this paper, the Burgers’ equations using the fractional derivative of Atangana-Baleanu sense are investigated and discussed. A Laplace variational iteration approach is used to demonstrate the fractional model's mathematical solution. The soluti
Externí odkaz:
https://doaj.org/article/85418f7da5ea41c897b80d60ef5aa737
Autor:
Hayat Afzaal Mubashir, Abbas Muhammad, Abdullah Farah Aini, Nazir Tahir, Sidi Hamed Ould, Emadifar Homan, Alruwaili Amani
Publikováno v:
Open Physics, Vol 22, Iss 1, Pp 73-85 (2024)
The generalization of the classical FitzHugh–Nagumo model provides a more accurate description of the physical phenomena of neurons by incorporating both nonlinearity and fractional derivatives. In this article, we present a numerical method for so
Externí odkaz:
https://doaj.org/article/07102e3992de43cc840bc0d07813383b
Publikováno v:
e-Prime: Advances in Electrical Engineering, Electronics and Energy, Vol 8, Iss , Pp 100601- (2024)
This paper investigates the impact of fractional derivatives on the activation functions of an artificial neural network (ANN). Based on the results and analysis, a three-layer backpropagation neural network model with fractional and integer derivati
Externí odkaz:
https://doaj.org/article/7910029f9b154d878da570348a3bd9d1
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100577- (2023)
In order to understand and manage infectious illnesses, mathematical models are extremely important. They support decision making by researchers and public health workers in predicting the spread of diseases, evaluate the results of interventions, an
Externí odkaz:
https://doaj.org/article/fd7cea4e8a7b47ed9c4c2481c14846a9
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 11752-11780 (2023)
The aim of this paper is to derive conditions under which the solution set of a non-local impulsive differential inclusions involving Atangana-Baleanu fractional derivative is a nonempty compact set in an infinite dimensional Banach spaces. Existence
Externí odkaz:
https://doaj.org/article/e3e64d9e8849443688bf61fee4088deb
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 30, Iss 1, Pp 635-660 (2022)
The paper's main aim is to investigate the 2019 coronavirus disease in Ethiopia using a fractional-order mathematical model. It would also focus on the importance of fractional-order derivatives that may help us in modelling the system and understand
Externí odkaz:
https://doaj.org/article/9d53f7929e284090a55c439a66a26b17
Publikováno v:
Results in Control and Optimization, Vol 12, Iss , Pp 100283- (2023)
This study investigates Diabetes Mellitus, focusing on global variations and complications for human health. We employ the ABC fractional derivative to develop a fractional-ordered diabetes model that incorporates complications for deeper understandi
Externí odkaz:
https://doaj.org/article/1f4d2f92bf134ba08812fe8001da1f9b