Korean J. Math. Vol. 23 No. 1 (2015) pp.205-230
DOI: https://doi.org/10.11568/kjm.2015.23.1.205

Existence of solutions of a class of impulsive periodic type BVPs for singular fractional differential systems

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Published: Mar 30, 2015
Keywords:
singular fractional differential system, impulsive boundary value problems, fixed point theorem
Mathematics Subject Classification:
92D25, 34A37, 34K15

Main Article Content

Yuji Liu
Department of Mathematics Guangdong University of Finance and Economics Guangzhou 510320, P R China

Abstract

A class of periodic type boundary value problems of coupled impulsive fractional differential equations are proposed. Sufficient conditions are given for the existence of solutions of these problems. We allow the nonlinearities $p(t)f(t,x,y)$ and $q(t)g(t,x,y)$ in fractional differential equations to be singular at $t=0,1$ and be involved a sup-multiplicative-like function. So both $f$ and $g$ may be super-linear and sub-linear. The analysis relies on a well known fixed point theorem. An example is given to illustrate the efficiency of the theorems.


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Supporting Agencies

This work was supported by the National Natural Science Foundation of China (No 11401111) the Natural Science Foundation of Guangdong province (No S2011010001900) and the Foundation for High-level talents in Guangdong Higher Education Project.

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