In this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. The differential operator is taken in the Riemann-Liouville sense. Applying the Schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,...

In this paper, we investigate the Hyers-Ulam stability of additive functional equations of two forms: of “Jensen” and “Jensen type” in the framework of multi-normed spaces. We therefore provide a link between multi-normed spaces and functional equations. More precisely, we establish the Hyers-Ulam stability of functional equations of these types for mappings from Abelian groups into multi-norme...

Abstract Inequalities play an important role in pure and applied mathematics. In particular, Jensen’s inequality, one of the most famous inequalities, plays main study existence uniqueness initial boundary value problems for differential equations. this work, we prove some new Jensen-type inequalities m -convex functions apply them to generalized Riemann-Liouville-type integral operators. Furth...

The thesis is based on the following publications: 1. Ejlertsen B, Jensen MB, Mouridsen HT. Excess mortality in postmenopausal women who only receive adjuvant endocrine therapy for estrogen receptor positive breast cancer. Acta Oncol 2014;53:174-85. 2. Ejlertsen B, Jensen MB, Elversang J, Rasmussen BB, Andersson M, Andersen J, Nielsen DL, Cold S, Mouridsen HT. One year of adjuvant tamoxifen com...

The automatic summarization of multimedia sources is an important task that facilitates the understanding individual by condensing source while maintaining relevant information. In this paper we focus on audio based features and probability distribution divergence. Our method, extractive approach, aims to select most segments until a time threshold reached. It takes into account segment’s lengt...