Existence of solutions for fractional integral boundary value problems with \(p(t)\)-Laplacian operator

Volume 9, Issue 7, pp 5000--5010 http://dx.doi.org/10.22436/jnsa.009.07.04

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Authors

Tengfei Shen - College of Sciences, China University of Mining and Technology, Xuzhou 221116, P. R. China. Wenbin Liu - College of Sciences, China University of Mining and Technology, Xuzhou 221116, P. R. China.

Abstract

This paper aims to investigate the existence of solutions for fractional integral boundary value problems (BVPs for short) with \(p(t)\)-Laplacian operator. By using the fixed point theorem and the coincidence degree theory, two existence results are obtained, which enrich existing literatures. Some examples are supplied to verify our main results.

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Keywords

• Fractional differential equation
• boundary value problem
• \(p(t)\)-Laplacian operator
• fixed point theorem
• coincidence degree theory.

MSC

•  34A08
•  34B10
•  47N20
•  34B15

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