A Physical Phenomenon for the Fractional Nonlinear Mixed Integro-Differential Equation Using a Quadrature Nystrom Method

Autor:	A. R. Jan, M. A. Abdou, M. Basseem
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fractional nonlinear (linear) integro-differential equation discontinuous kernel nonlinear algebraic system Nystrom method the rate of convergence error Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 9, p 656 (2023)
Druh dokumentu:	article
ISSN:	2504-3110 84140828
DOI:	10.3390/fractalfract7090656
Popis:	In this work, the existence and uniqueness solution of the fractional nonlinear mixed integro-differential equation (FrNMIoDE) is guaranteed with a general discontinuous kernel based on position and time-space L2Ω×C0,T, T<1. The FrNMIoDE conformed to the Volterra-Hammerstein integral equation (V-HIE) of the second kind, after applying the characteristics of a fractional integral, with a general discontinuous kernel in position for the Hammerstein integral term and a continuous kernel in time to the Volterra integral (VI) term. Then, using a separation technique methodology, we developed HIE, whose physical coefficients were time-variable. By examining the system’s convergence, the product Nystrom technique (PNT) and associated schemes were employed to create a nonlinear algebraic system (NAS).
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a35f1a618df841408284b124796b5d1c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.