Solvability for integral boundary value problems of fractional differential equation on infinite intervals

Volume 9, Issue 1, pp 160--170 http://dx.doi.org/10.22436/jnsa.009.01.15

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Authors

Changlong Yu - College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, P. R. China. Jufang Wang - College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, P. R. China. Yanping Guo - College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, Hebei, P. R. China.

Abstract

In this paper, we establish the solvability for integral boundary value problems of fractional differential equation with the nonlinear term dependent in a fractional derivative of lower order on infinite intervals. The existence and uniqueness of solutions for the boundary value problem are proved by means of the Schauder's fixed point theorem and Banach's contraction mapping principle. Finally, we give two examples to demonstrate the use of the main results.

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Keywords

• Integral boundary value problem
• fractional difierential equation
• infinite interval
• Fixed point theorem.

MSC

•  34A08
•  34B40
•  34B15

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