Opuscula Math. 31, no. 4 (2011), 629-643
Existence and uniqueness results for fractional differential equations with boundary value conditions
LinLi Lv
JinRong Wang
Wei Wei
Abstract.
In this paper, we study the existence and uniqueness of fractional differential equations with boundary value conditions. A new generalized singular type Gronwall inequality is given to obtain 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.
Keywords:
fractional differential equations, boundary value conditions, singular Gronwall inequality, existence, uniqueness.
Mathematics Subject Classification:
26A33, 34B05.
About the authors ▼
LinLi Lv
Guizhou University, College of Technology, Guiyang, Guizhou 550004, P. R. China
JinRong Wang
Guizhou University, College of Science, Guiyang, Guizhou 550025, P. R. China
Wei Wei
Guizhou University, College of Science, Guiyang, Guizhou 550025, P. R. China
About the article ▼
Received: 2010-12-10.
Revised: 2011-01-17.
Accepted: 2011-01-31.
Cite this article as ▼
LinLi Lv, JinRong Wang, Wei Wei, Existence and uniqueness results for fractional differential equations with boundary value conditions, Opuscula Math. 31, no. 4 (2011), 629-643,
http://dx.doi.org/10.7494/OpMath.2011.31.4.629.
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