in this paper, the homotopy perturbation method (hpm) is applied to obtain an approximate solution of the fractional bratu-type equations. the convergence of the method is also studied. the fractional derivatives are described in the modied riemann-liouville sense. the results show that the proposed method is very ecient and convenient and can readily be applied to a large class of fractional...

This paper deals with multiwavelets and the different properties of approximation and smoothness associated with them. In particular, we focus on the important issue of the preservation of discrete-time polynomial signals by multifilterbanks. We introduce and detail the property of balancing for higher degree discrete-time polynomial signals and link it to a very natural factorization of the re...

Multiwavelets and multiframelets are of interest in several applications such as numerical algorithms and signal processing, due to their desirable properties such as high smoothness and vanishing moments with relatively small supports of their generating functions and masks. In order to process and represent vector-valued discrete data efficiently and sparsely by a multiwavelet transform, a mu...

three intrusive granitoid bodies from northwest saveh, central iran, are embedded in volcanic sedimentary rocks of the eocene,forming isolated small outcrops: khalkhab quartz monzodioritic units (sio2: ~52-57 wt %) to the northwest, neshveh granodioriticunits (sio2: ~62-71 wt %) to the northeast, and selijerd granodioritic units (sio2: ~63-69 wt %) to the southeast. the khalkhab unit iscomposed...

We develop the theory of hybrid fractional differential equations with the complex order $thetain mathbb{C}$, $theta=m+ialpha$, $0<mleq 1$, $alphain mathbb{R}$, in Caputo sense. Using Dhage's type fixed point theorem for the product of abstract nonlinear operators in Banach algebra; one of the operators is $mathfrak{D}$- Lipschitzian and the other one is completely continuous, we prove the exis...

Interpolating scaling vectors and multiwavelets are particularly attractive for application purposes, because they provide a natural preprocessing procedure. This paper is concerned with the application of the interpolating orthonormal scaling vectors constructed in [10] to signal and image denoising. The results of several wavelets and multiwavelets for both universal and vector thresholding a...

Based on chaotic scrambling, we proposed a digital image watermarking scheme in interpolatory orthogonal multiwavelets transforming domain. At first, the logistic chaotic mapping and arnold transformating are employed to scramble the original watermarking image, then the watermark information is embedded into the middle frequency interpolatory orthogonal multiwavelets transforming coefficients ...