Abstract.   The Sturm-Liouville boundary value problem of the multi-order fractional differential equation  is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.

The paper studies the structures of total and regular graphs sets three elements over fields zero characteristic. themselves are classified up to isomorphism.

there are many different ways to subdivide the spectrum of a bounded linear operator; some of them aremotivated by applications to physics (in particular, quantum mechanics). in this study, the relationship betweenthe subdivisions of spectrum which are not required to be disjoint and goldberg's classification are given.moreover, these subdivisions for some summability methods are studied.

R. G. Nunes, P. Jezzard, H. Johansen-Berg, T. E. Behrens, S. Clare FMRIB Centre, University of Oxford, Oxford, Oxfordshire, United Kingdom Synopsis: Interleaved Echo Planar Imaging (IEPI) can be used to produce high-resolution Diffusion-Weighted Images (DWI). However, DW makes the images particularly sensitive to patient motion, resulting in severe artefacts. These problems can be overcome by a...