Zobrazeno 1 - 10
of 1 174
pro vyhledávání: '"Singular kernel"'
Autor:
Muna M. Mustafa, Heba A. Abd-Alrazak
Publikováno v:
Baghdad Science Journal, Vol 21, Iss 12 (2024)
There is always an interest in an effective technique to generate a numerical solution of integral equations with singular or weakly singular kernels more precisely because numerical methods have limitations. In this study, integral equations with si
Externí odkaz:
https://doaj.org/article/a80e78fb05a4424cac0c9e1045fd237d
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
Autor:
Sameeha A. Raad, Mohammed A. Abdou
Publikováno v:
Fractal and Fractional, Vol 8, Iss 11, p 644 (2024)
This work studies an integro-fractional differential equation (I-FrDE) with a generalized symmetric singular kernel. The scientific approach in this study was to transform the integro-differential equation (I-DE) into a mixed integral equation (MIE)
Externí odkaz:
https://doaj.org/article/bafd40522cdf4ceb820012a2843f1c83
Publikováno v:
Mathematical Modelling and Analysis, Vol 29, Iss 3 (2024)
In this work, we introduce a numerical approach that utilizes spline quasi-interpolation operators over a bounded interval. This method is designed to provide a numerical solution for a class of Fredholm integro-differential equations with weakly sin
Externí odkaz:
https://doaj.org/article/3bfff3e2fc3b48b89489eaf18577a1cc
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 24379-24400 (2023)
Spectral relationships explain many physical phenomena, especially in quantum physics and astrophysics. Therefore, in this paper, we first attempt to derive spectral relationships in position and time for an integral operator with a singular kernel.
Externí odkaz:
https://doaj.org/article/a606569b68974aa38e1dae753d30db13
Autor:
Jun Moon
Publikováno v:
AIMS Mathematics, Vol 8, Iss 10, Pp 22924-22943 (2023)
We consider the terminal state-constrained optimal control problem for Volterra integral equations with singular kernels. A singular kernel introduces abnormal behavior of the state trajectory with respect to the parameter of $ \alpha \in (0, 1) $. O
Externí odkaz:
https://doaj.org/article/22042babc50a4097be5c5316ba0e2629
Publikováno v:
Alexandria Engineering Journal, Vol 70, Iss , Pp 601-611 (2023)
Deciphering the effect of long memory on dynamic behavior is important for controlling disease transmission. Employing fractional order calculus, here, we propose a model with Caputo operator to emphasize the regulation effect of the long memory on t
Externí odkaz:
https://doaj.org/article/52d2568384f7477ab24e3762415307a9
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