شماره ركورد كنفرانس :
5263
عنوان مقاله :
Numerical solution of singular fractional integro-differential equations
پديدآورندگان :
Nemati Somayeh s.nemati@umz.ac.ir Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. , Ismael Mohammed Hussein mhammedhs2015@gmail.com Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
كليدواژه :
Fractional integro , differential equations , Singular kernel , Bernoulli wavelets , Caputo derivative , Riemann , Liouville integral
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
The main aim of this work is to present a numerical method based on Bernoulli wavelet basis functions for solving a class of fractional order integro-differential equations with weakly singular kernel. To this aim, we introduce the Riemann–Liouville integral of the basis functions and use them to reduce the main problem to a system of algebraic equations. Finally, an example is solved by the proposed scheme and the results show the efficiency and high accuracy of our new technique.
