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Infinitely many solutions for a perturbed nonlinear fractional boundary value problems depending on two parameters
Journal article   Peer reviewed

Infinitely many solutions for a perturbed nonlinear fractional boundary value problems depending on two parameters

N. Nyamoradi and Y. Zhou
The European physical journal. ST, Special topics, Vol.222(8), pp.1999-2013
01/09/2013
DOI: https://doi.org/10.1140/epjst/e2013-01980-2

Abstract

Physical Sciences Physics Physics, Multidisciplinary Science & Technology
In this paper we prove the existence and multiplicity of (weak) solutions for the following fractional boundary value problem: where , (0) D (t) (alpha-1) and (t) D (T) (alpha-1) are the left and right Riemann-Liouville fractional integrals of order 1 - alpha respectively, lambda,mu a [0,+a), T > 0, F,G a C([0,T] x R (N) ;R)\{0} and A = (a (ij) (t)) (NxN) is symmetric. Our approach is based on variational methods.

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