A conformable calculus of radial basis functions and its applications

Autor:	Fuat Usta
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Conformable fractional derivative Radial Basis Functions Kansa collocation technique. Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Zdroj:	An International Journal of Optimization and Control: Theories & Applications, Vol 8, Iss 2 (2018)
Druh dokumentu:	article
ISSN:	2146-0957 2146-5703
DOI:	10.11121/ijocta.01.2018.00544
Popis:	In this paper we introduced the conformable derivatives and integrals of radial basis functions (RBF) to solve conformable fractional differential equations via RBF collocation method. For that, firstly, we found the conformable derivatives and integrals of power, Gaussian and multiquadric basis functions utilizing the rule of conformable fractional calculus. Then by using these derivatives and integrals we provide a numerical scheme to solve conformable fractional differential equations. Finally we presents some numerical results to confirmed our method
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/da69678c11bb4c0482aed069edba70f5 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF