New Aspects of Bloch Model Associated with Fractal Fractional Derivatives

Autor:	Subhash Alha, Ishfaq Ahmad Mallah, Ali Akgül
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Fractal Computer Networks and Communications Modeling and Simulation General Chemical Engineering Mathematical analysis General Engineering TA1-2040 Engineering (General). Civil engineering (General) Fractional calculus Mathematics
Zdroj:	Nonlinear Engineering, Vol 10, Iss 1, Pp 323-342 (2021)
ISSN:	2192-8029 2192-8010
Popis:	To model complex real world problems, the novel concept of non-local fractal-fractional differential and integral operators with two orders (fractional order and fractal dimension) have been used as mathematical tools in contrast to classical derivatives and integrals. In this paper, we consider Bloch equations with fractal-fractional derivatives. We find the general solutions for components of magnetization ℳ = (Mu , Mv , Mw ) by using descritization and Lagrange's two step polynomial interpolation. We analyze the model with three different kernels namely power function, exponential decay function and Mittag-Leffler type function. We provide graphical behaviour of magnetization components ℳ = (Mu , Mv , Mw ) on different orders. The examination of Bloch equations with fractal-fractional derivatives show new aspects of Bloch equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8b364a57e069c5058629346fe1c57f8 https://doaj.org/article/e9af57505a584bee95cdf00b0abaa426 Zobrazit plný text záznamu