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.
تعداد صفحه
4
كليدواژه
Fractional integro , differential equations , Singular kernel , Bernoulli wavelets , Caputo derivative , Riemann , Liouville integral
سال انتشار
1402
عنوان كنفرانس
54 امين كنفرانس رياضي ايران
زبان مدرك
انگليسي
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.
كشور
ايران
لينک به اين مدرک