This paper deals with impulsive fractional differential inclusions with a fractional order multi-point boundary condition and with fractional order impulses. By use of multi-valued analysis and topological fixed point theory, we present some existence results under both convexity and nonconvexity conditions on the multi-valued right-hand side. The compactness of the solutions set and continuous...

This article concerns the existence of solutions for fractional-order differential inclusions with boundary-value conditions. The main tools are based on fixed point theorems due to Bohnerblust-Karlin and Leray-Schauder together with a continuous selection theorem for upper semi-continuous multivalued maps.

Given any finite set of trajectories of a Lipschitzian quantum stochastic differential inclusion (QSDI), there exists a continuous selection from the complex-valued multifunction associated with the solution set of the inclusion, interpolating the matrix elements of the given trajectories. Furthermore, the difference of any two of such solutions is bounded in the seminorm of the locally convex ...

We discuss the proof of a version of the maximum principle with state space constraints for data with very weak regularity properties, using the classical method of packets of needle variations (PNVs), as in Pontryagin’s book, but coupling it with a nonclassical theory of multivalued differentials, the so-called “generalized differential quotients” (GDQs). The key technical point of our argumen...

Several mechanical systems are modeled by the static momentum balance for the displacement u coupled with a rate-independent flow rule for some internal variable z. We consider a class of abstract systems of ODEs which have the same structure, albeit in a finite-dimensional setting, and regularize both the static equation and the rate-independent flow rule by adding viscous dissipation terms wi...

In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.

We consider grains with superparamagnetic inclusions and report two new condensed matter effects that can enhance the internal relaxation of the energy of a wobbling grain, namely, superparamagnetic Barnett relaxation, as well as, an increase of frequencies for which nuclear relaxation becomes important. This findings extends the range of grain sizes for which grains are thermally trapped, i.e....

*Correspondence: [email protected] Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Abstract In this paper, the existence of solutions for differential inclusions of fractional order q ∈ (1, 2] with nonlocal strip conditions is investigated. Our study includes two cases: (i) the multivalued map involved in the problem is not ...

1. Description of the Model The model used for this study was GATOR-GCMOM, a parallelized and one-way-nested global-through-urban scale Gas, Aerosol, Transport, Radiation, General Circulation, Mesoscale, and Ocean Model (S1-S12),. The model treated time-dependent gas, aerosol, cloud, radiative, dynamical, ocean, and transport processes. Aerosol processes were treated among a single aerosol size...

A comparison study is given of a typical superconducting YBa2Cu3O7 d (Y123) film and a Y123 film containing a nonsuperconductingY2BaCuO5 (Y211) phase nanoparticulate dispersion. The inclusion of the second phase nanoparticulates was for the express purpose of increasing superconducting film’s magnetic pinning strength with the resultant improved in-field critical current density. LaAlO3 substra...