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2013, 01, v.45 5-9
一类分数阶积分方程解的存在性和吸引性
基金项目(Foundation): 国家自然科学基金资助项目,编号60604004;; 河北省自然科学基金数学研究专项基金资助项目,编号07M005;; 秦皇岛市科技支撑项目,编号201001A037,201101A168
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摘要:

研究了一类带偏离变量的分数阶积分方程解的存在性和吸引性.利用非紧测度的性质,得到了该方程解的存在性和吸引性的判定定理.

Abstract:

The existence and attractiveness of solutions of a functional integral equation of fractional order with deviating arguments were studied.By virtue of suitable conjunction of the well-known measure,sufficient condition of the existence and attractiveness of solutions of this equation were obtained.

参考文献

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[3]Aghajani A,Jalilian Y.Existence and global attractivity of solutions of a nonlinear functional integral equation[J].Communica-tions in Nonlinear Science and Numerical Simulation,2010,15(11):3306-3312.

[4]Banas'J,Rzepka B.On local attractivity and asymptotic stability of solutions of a quadratic volterra integral equation[J].Ap-plied Mathematics and Computation,2009,213(1):102-111.

[5]Banas'J,O'Regan D.On existence and local attractivity of solutions of a quadratic volterra integral equation of fractional order[J].Journal of Mathematical Analysis and Applications,2008,345(1):573-582.

[6]Balachandran K,Park J Y,Julie M D.On local attractivity of solutions of a functional integral equation of fractional order withdeviating arguments[J].Communications in Nonlinear Science Numerical Simulation,2010,15(10):2809-2817.

[7]Podlubny I.Fractional Differential Equations[M].New York:Mathematics in Science and Engineering Academic Press,1999.

[8]Banas'J,Goebel K.Measures of Noncompactness in Banach Spaces[M].New York:Marcel Dekker,1980.

基本信息:

中图分类号:O175.5

引用信息:

[1]杨军,葛艳芳,赵硕,等.一类分数阶积分方程解的存在性和吸引性[J],2013,45(01):5-9.

基金信息:

国家自然科学基金资助项目,编号60604004;; 河北省自然科学基金数学研究专项基金资助项目,编号07M005;; 秦皇岛市科技支撑项目,编号201001A037,201101A168

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