The paper deals with some new non-linear diffusion models, involving very general growth condition respect to for the image filtering in framework of Orlicz–Musielak spaces. We prove existence a solution BV which is an adequate space processing tasks. experimental results focus on giving comparison two Perona–Malik models.

In this paper, we propose a discrete Lotka–Volterra predator–prey model with Holling type-I and -II functional responses. We investigate the stability of fixed points model. Also, study effects changing each control parameter on long-time behavior This contains lot complex dynamical behaviors ranging from stable point to chaotic attractors. Finally, illustrate analytical results by some numerical simulations.

We propose a fractional‐order model of the interaction within two‐prey and one‐predator system. prove existence uniqueness solutions this model. investigate in detail local asymptotic stability equilibrium Also, we illustrate analytical results by some numerical simulations. Finally, give an example solution that is centre for integer order system, while it locally asymptotically stable its counterpart.

In this paper, N-tupled fixed point theorems for two monotone nondecreasing mappings in complete normed linear space are established. The extension of Krasnoseskii theorem a version is given. Our theoretical results applied to prove the existence mild solution system N-nonlinear fractional evolution equations. Finally, an example nonlinear dynamical given illustrate results.

In this paper, a discrete Lotka-Volterra predator-prey model is proposed that considers mixed functional responses of Holling types I and III. The equilibrium points the are obtained, their stability tested.... | Find, read cite all research you need on Tech Science Press

This work gives an algorithm that makes up for the many iterations and loss of some main features encountered in usual methods wavelet transform filtering. The technique is merged with window low-pass method. results are acceptable.

In the present study, we identify a new type of extended metrics space, i.e. generalized quasi-partial metric space and utilize it to introduce results fixed point for contractive monotone mappings. Some interesting examples are also presented. We apply complexity computer algorithms analyze their running time.

Abstract The combined systems of integral equations have become great importance in various fields sciences such as electromagnetic and nuclear physics. New classes the merged type Urysohn Volterra-Chandrasekhar quadratic are proposed this paper. This system involves fractional Volterra kernels also Chandrasekhar kernels. solvability a coupled mixed is studied. To realize existence solution those systems, we use Perov’s fixed point with Leray-Schauder approach generalized Banach algebra spaces.

We establish some coincidence point results for self-mappings satisfying rational type contractions in a generalized metric space. Presented theorems weaken and extend numerous existing the literature besides furnishing illustrative examples our results. Finally, apply, particular, to study of solvability functional equations arising dynamic programming.

In this work, we introduce a new version of Krasnoselskii fixed‐point theorem dealing with N ‐tupled results under certain blended conditions. Herein, demonstrate that our newly theoretical are applied to the investigation Riemann‐Liouville fractional differential equations (R‐L FDEs for short). Furthermore, an example illustrate abstract is obtained.

Construction over soft clay soils have always been a great challenge in the field of geotechnical engineering especially when designing infrastructure.Because low shear strength and high compressibility this soil, many problems such as slope instability, bearing capacity failure excessive settlement could occur either during or after construction phase.The design highway pavements on soil still remains very challenging issue, it can cause roadbed instability total differential...

The present paper investigates the convergence of some new implicit iterations coupled fixed point for non-linear contractive like functions on W-hyperbolic metric spaces. Moreover, we provide a theoretical comparison our to illustrate fastest iteration point.

In this paper, we shall be concerned with a special kind of equicontinuous semi-topological semigroups self-mappings on weakly compact convex subset separated locally space, namely, the generalized non-expansive mappings and introduce some common fixed point results for semigroups.Also, study characterization existence left invariant mean almost periodic functions separable semigroups.Our extend due to Lau Zhang [17] [13].

This paper is devoted to the investigation of a kind generalized Caputo semilinear fractional differential inclusions with deviated-advanced nonlocal conditions. Solvability problem established by means Leray-Schauder’s alternative approach help Lagrange mean-value classical theorem. Finally, some examples are given delineate efficient theoretical results.

The multiresolution (Gabor and wavelet transforms) nonlinear diffusion filtering (NDF) methods are investigated to extract the coherent incoherent parts of a forced homogeneous isotropic turbulent field. aim this paper is apply two different analyses decompose field into organized random parts. first analysis process based on frequency domain; however second NDF implemented in spatial domain. generated using Lattice Boltzmann method (LBM) with resolution 128 3 , Q-identification used...

<abstract> In this paper, we establish the existence and uniqueness of solution for a nonlinear coupled system implicit fractional differential equations including $ \psi $-Caputo operator under nonlocal conditions. Schaefer's Banach fixed-point theorems are applied to obtain solvability results proposed system. Furthermore, extend investigate several types Ulam stability by using classical tool analysis. Finally, an example is provided illustrate abstract results. </abstract>