The space-fractional Poisson process is a time-changed homogeneous Poisson process where the time change is an independent stable subordinator. In this paper, a further generalization is discussed that preserves the Lévy property. We introduce a generalized process by suitably time-changing a superposition of weighted space-fractional Poisson processes. This generalized process can be related t...

in this paper, we introduce an efficient method based on haar wavelet to approximate a solutionfor the two-dimensional linear stochastic fredholm integral equation. we also give an example to demonstrate the accuracy of the method.

in this paper, a numerical efficient method based on two-dimensional block-pulse functions (bpfs) is proposed to approximate a solution of the two-dimensional linear stochastic volterra-fredholm integral equation. finally the accuracy of this method will be shown by an example.

Using convolution, classes of p-valent functions with respect to symmetric conjugate points are introduced. Integral representation and closure properties under convolution of general classes with respect to (2j, k) symmetric points are investigated. AMS (MOS) Subject Classification Codes: 30C45

Evolutionary integral equations as appearing in the theory of linear parabolic viscoelasticity are studied in the presence of white noise. It is shown that the stochastic convolution leads to regular solutions, and that under suitable assumptions the samples are HH older-continuous. These results are put in a wider perspective by consideration of equations with fractional derivatives which are ...

An integro-differential equation involving a convolution integral with a weakly singular kernel is considered. The kernel can be that of a fractional integral. The integro-differential equation is discretized using the discontinuous Galerkin method with piecewise constant basis functions. Sparse quadrature is introduced for the convolution term to overcome the problem with the growing amount of...

In this paper, we define a class R h p,m,β associated with convolution of p-valent analytic functions. Some properties in the form of coefficient inequality, growth and distortion bounds, sufficient conditions with the help of various lemmas, integral means inequality for convolution of two functions and a set of class preserving integral operators of functions belonging to this class are studi...

Dengue Hemorrhagic Fever (DHF) is a tropical disease that always attacks densely populated urban communities. Some factors, such as environment, climate and mobility, have contributed to the spread of disease. The Aedes aegypti mosquito an agent dengue virus in humans, by inhibiting its life cycle it can reduce Therefore, necessary involve dynamics mosquito's model order obtain reliable risk ma...

Keywords: Filter Modular space (Modular) filter convergence Rate of convergence Sampling operator Integral operator Urysohn operator Mellin convolution operator a b s t r a c t We investigate the order of approximation of a real-valued function f by means of suitable families of sampling type operators, which include both discrete and integral ones. We give a unified approach, by means of which...