Fractional-order Euler functions for solving fractional integro-differential equations with weakly singular kernel

Fractional-order Euler functions for solving fractional integro-differential equations with weakly singular kernel

Abstract In this paper, a new set of functions called fractional-order Euler functions (FEFs) is constructed to obtain the solution of fractional integro-differential equations. The properties of the fractional-order Euler functions are utilized to construct the operational matrix of fractional inte...

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Bibliographic Details
Main Authors: Yanxin Wang, Li Zhu, Zhi Wang
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Advances in Difference Equations
Subjects:
Fractional calculus
Fractional integro-differential equation
Fractional-order Euler functions
Operational matrix
Weakly singular kernel
Online Access:http://link.springer.com/article/10.1186/s13662-018-1699-3

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http://link.springer.com/article/10.1186/s13662-018-1699-3

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