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.
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页数：13
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