Existence of solutions for fractional differential equations with integral boundary conditions at resonance

Volume 10, Issue 10, pp 5328--5341 http://dx.doi.org/10.22436/jnsa.010.10.19

Publication Date: October 20, 2017 Submission Date: December 06, 2016

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Authors

Wei Zhang - Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China. Wenbin Liu - Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China.

Abstract

This paper investigates the existence of solutions for Riemann-Stieltjes integral boundary value problems of fractional differential equation by using Mawhin's coincidence degree theory. An example is given to show the application of our result.

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ISRP Style

Wei Zhang, Wenbin Liu, Existence of solutions for fractional differential equations with integral boundary conditions at resonance, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5328--5341

AMA Style

Zhang Wei, Liu Wenbin, Existence of solutions for fractional differential equations with integral boundary conditions at resonance. J. Nonlinear Sci. Appl. (2017); 10(10):5328--5341

Chicago/Turabian Style

Zhang, Wei, Liu, Wenbin. "Existence of solutions for fractional differential equations with integral boundary conditions at resonance." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5328--5341

Keywords

Riemann-Stieltjes integral
fractional differential equations
resonance
coincidence degree

MSC

34A08
34B15

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