A conformable calculus of radial basis functions and its applications | Zendy

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A conformable calculus of radial basis functions and its applications

Author(s) -

Fuat Usta

Publication year - 2018

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2018.00544

Subject(s) - conformable matrix , mathematics , fractional calculus , radial basis function , collocation (remote sensing) , basis (linear algebra) , collocation method , scheme (mathematics) , mathematical analysis , calculus (dental) , differential equation , computer science , geometry , physics , artificial intelligence , artificial neural network , medicine , ordinary differential equation , dentistry , quantum mechanics , machine learning

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

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