Existence and uniqueness results for fractional integrodifferential equations with boundary value conditions

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• 作者：K. Karthikeyan^a ; ^{karthi_phd2010@yahoo.co.in} ; J.J. Trujillo^b ; ^{jtrujill@ullmat.es}
• 关键词：Boundary value problems ; Fractional differential equations ; Generalized singular Gronwall inequality ; Existence ; Uniqueness
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2012
• 期刊代码：89_10075704
• 类别：ph
• 出版时间：November, 2012
• 卷：17
• 期：11
• 页码：4037-4043
• 文件大小：218 K

摘要

In this paper, we study existence and uniqueness of fractional integrodifferential equations with boundary value conditions. A new generalized singular type Gronwall inequality is given to obtain an important a priori bounds. Existence and uniqueness results of solutions are established by virtue of fractional calculus and fixed point method under some weak conditions. An example is given to illustrate the results.