In this paper, fast numerical methods are established to solve a class of time distributed-order and Riesz space fractional diffusion-wave equations. We derive new difference schemes by weighted shifted Grünwald formula in centered space. The unconditional stability second-order convergence time, the analyzed. one-dimensional case, Gohberg-Semencul utilizing preconditioned Krylov subspace metho...

An effective design procedure has been introduced for implementing the fractional order integrator structures with a modified low pass filters (LPFs) and its functionality is verified by realizing fractional-order chaotic system. In these applications, state variables of Sprott’s Jerk system are emulated first LPFs. Since discrete device based designs have hard adjustment features circuit compl...

In this paper, we study optimal control problems for nonlinear fractional order boundary value on a star graph, where the derivative is described in Caputo sense. The adjoint state and optimality system are derived problem (FOCP) by using Lagrange multiplier method. Then, existence uniqueness of solution equation proved means Banach contraction principle. We also pr...

Fractional calculus has been proved to be very effective in representing the visco-elastic relaxation response of materials with memory such as polymers. Moreover, modeling temperature dependency material functions thermo-visco-elasticity, standard time–temperature superposition principle is known ineffective most cases (thermo-rheological complexity). In this work, a novel finite element formu...

Airport security checkpoints might take a lesson from the nuclear pore complex (NPC), where, according to Dange et al., there are no long lines and no slowdown despite the hubbub around them. The group used single-molecule video microscopy, with a localization precision of about the width of a protein, to track single molecules of labeled, cargo-carrying receptors entering the NPC in vivo. They...

The data augmentation method is known as a helpful technique to generate dataset with large number of images from one small for supervised training in deep learning. However, low validity image recognition was reported recent study on artificial intelligence (AI). This aimed clarify the optimal learning model generation white blood cells (WBCs). Study Design: We conducted three different method...

Airport security checkpoints might take a lesson from the nuclear pore complex (NPC), where, according to Dange et al., there are no long lines and no slowdown despite the hubbub around them. The group used single-molecule video microscopy, with a localization precision of about the width of a protein, to track single molecules of labeled, cargo-carrying receptors entering the NPC in vivo. They...