شماره ركورد كنفرانس :
5286
عنوان مقاله :
Weighted residual strategy to solve distributed-order fractional differential equations
پديدآورندگان :
Rahimkhani Parisa 1 Faculty of Science, Mahallat Institute of Higher Education, Mahallat, Iran , Moeti Reza rezamoeti@gmail.com Department of Mathematics Education, Faculty of Mathematics and Computer, Shahid Bahonar University Kerman, Iran
كليدواژه :
Distributed , order fractional differential equations , Beta function , Fractional integral operator , Collocation method
عنوان كنفرانس :
پنجمين كنفرانس بينالمللي محاسبات نرم
چكيده فارسي :
A novel method to finding the numerical solution of distributed-order fractional differential equations (DFDEs) is introduced. This method is based on Genocchi wavelets (GWs), and weighted residual method (collocations method). For this aim, an exact formula involving regularized beta functions for determining the Riemann-Liouville fractional integral operator of these wavelets is given. Implementing the mentioned integral operator with the help of the Gauss-Legendre numerical integration, the problem converts to a system of algebraic equations.
