A conformable calculus of radial basis functions and its applications

Abstract

In this paper we introduced the conformable derivatives and integrals of radialbasis functions (RBF) to solve conformable fractional differential equations viaRBF collocation method. For that, firstly, we found the conformable derivativesand integrals of power, Gaussian and multiquadric basis functions utilizingthe rule of conformable fractional calculus. Then by using these derivativesand integrals we provide a numerical scheme to solve conformable fractionaldifferential equations. Finally we presents some numerical results to confirmedour method.