The Solutions of Some Riemann-Liouville Fractional Integral Equations

被引：9

作者：

Kaewnimit, Karuna ^{[1
]}

Wannalookkhee, Fongchan ^{[1
]}

Nonlaopon, Kamsing ^{[1
]}

Orankitjaroen, Somsak ^{[2
]}

机构：

[1] Khon Kaen Univ, Dept Math, Khon Kaen 40002, Thailand

[2] Mahidol Univ, Fac Sci, Dept Math, Bangkok 10400, Thailand

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 04期

关键词：

Laplace transform; fractional differential equations; fractional integral equations; Riemann-Liouville fractional integral; DIFFERENTIAL-EQUATIONS; CALCULUS OPERATORS;

D O I：

10.3390/fractalfract5040154

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose the solutions of nonhomogeneous fractional integral equations of the form I0+3 sigma y(t)+a & BULL;I0+2 sigma y(t)+b & BULL;I0+sigma y(t)+c & BULL;y(t)=f(t), where I0+sigma is the Riemann-Liouville fractional integral of order sigma=1/3,1,f(t)=tn,tnet,n & ISIN;N boolean OR{0},t & ISIN;R+, and a,b,c are constants, by using the Laplace transform technique. We obtain solutions in the form of Mellin-Ross function and of exponential function. To illustrate our findings, some examples are exhibited.

引用

页数：13

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