Our main goal in this paper is to investigate the regularity of mild solution fractional diffusion equation which can be used modelling heat transfer with memory effects. Under some various assumptions input data, we obtain two results. We also provide upper bound and lower source function. The tool use complex evaluations involving Wright

a priori information 299 abdominal scans 184 active appearance models (AAM) 417, 436, 440, 448 active contours 3, 275, 316 formulations 318 active shape models (ASM) 417, 448 admissible functions 347 affine 348 affine intensity transformations 234 affine-invariant 221, 223 affine tangent 280 affine transformation 245, 280, 352, 369 albedo model 444 albedo recovery 445 alignment 346, 361 amplitu...

We study the relationship between two measures of Boolean functions; algebraic thickness and normality. For a function f , the algebraic thickness is a variant of the sparsity, the number of nonzero coefficients in the unique F2 polynomial representing f , and the normality is the largest dimension of an affine subspace on which f is constant. We show that for s < 3, any function with algebraic...

All image processing applications of the self-affine mapping system (SAMS) were developed based on the attraction and repellence behaviours. In this paper, we provide some analytical justifications for these properties. Besides, it is shown that the cost function of SAMS sometimes have multiple equivalent solutions which may produce ambiguity. We improve the cost function of self-affine snake a...

In this paper we develop a theory of stabilizing singleinput nonlinear affine systems using quantized feedback. We construct a stabilizing quantizer based on a control Lyapunov function (CLF), and a robustly stabilizing quantizer based on a robust control Lyapunov function (RCLF). We characterize the coarsest quantizer under certain conditions. The special features of several classes of nonline...