A conformable calculus of radial basis functions and its applications

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 fu...

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Main Author:	Fuat Usta
Format:	Article
Language:	English
Published:	Balikesir University 2018-04-01
Series:	An International Journal of Optimization and Control: Theories & Applications
Subjects:	Conformable fractional derivative Radial Basis Functions Kansa collocation technique.
Online Access:	http://ijocta.org/index.php/files/article/view/544

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spelling	doaj-da69678c11bb4c0482aed069edba70f52021-02-17T01:22:51ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032018-04-018210.11121/ijocta.01.2018.00544A conformable calculus of radial basis functions and its applicationsFuat Usta0Düzce University 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 http://ijocta.org/index.php/files/article/view/544Conformable fractional derivativeRadial Basis FunctionsKansa collocation technique.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Fuat Usta
spellingShingle	Fuat Usta A conformable calculus of radial basis functions and its applications An International Journal of Optimization and Control: Theories & Applications Conformable fractional derivative Radial Basis Functions Kansa collocation technique.
author_facet	Fuat Usta
author_sort	Fuat Usta
title	A conformable calculus of radial basis functions and its applications
title_short	A conformable calculus of radial basis functions and its applications
title_full	A conformable calculus of radial basis functions and its applications
title_fullStr	A conformable calculus of radial basis functions and its applications
title_full_unstemmed	A conformable calculus of radial basis functions and its applications
title_sort	conformable calculus of radial basis functions and its applications
publisher	Balikesir University
series	An International Journal of Optimization and Control: Theories & Applications
issn	2146-0957 2146-5703
publishDate	2018-04-01
description	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
topic	Conformable fractional derivative Radial Basis Functions Kansa collocation technique.
url	http://ijocta.org/index.php/files/article/view/544
work_keys_str_mv	AT fuatusta aconformablecalculusofradialbasisfunctionsanditsapplications AT fuatusta conformablecalculusofradialbasisfunctionsanditsapplications
_version_	1724265723424931840

A conformable calculus of radial basis functions and its applications

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