Abstract In this article, we study a class of nonlinear fractional differential equation for the existence and uniqueness positive solution Hyers–Ulam-type stability. To proceed work, utilize tools fixed point theory analysis to investigate concern theory. We convert into an integral alternative form with help Greens function. Using desired function, studied proposed equation. next section auth...

This paper uses several California data sets to test for differences in consumption patterns between greens and browns. A person’s ‘‘environmentalism’’ is rarely observed in consumer data sets. In California, a community’s share of Green Party registered voters is a viable proxy for community environmentalism. Environmentalists are more likely to commute by public transit, purchase hybrid vehic...

We first focus in Chapter 2 on infrared effects in finite–temperature quantum field theory. We propose a simple mathematical method (based on the largest–time equation and the Dyson–Schwinger equations) which allows systematic calculations of the change of density in energy/particles in heat–bath during a scattering/decay of external particles within the heat bath. A careful analysis reveals th...

In this paper, a new inversion model for 2D microwave imaging is introduced by means of convenient rewriting the usual Lippmann Schwinger integral scattering equation. Such derived decomposing Greens function and corresponding internal radiation operator in two different contributions. fact, one them can be easily computed from collected scattered data. case lossless backgrounds, resulting turn...

These lecture notes give a short review of methods such as the matrix ansatz, the additivity principle or the macroscopic fluctuation theory, developed recently in the theory of non-equilibrium phenomena. They show how these methods allow us to calculate the fluctuations and large deviations of the density and the current in non-equilibrium steady states of systems like exclusion processes. The...

The main goal of this work is to determine a statistical non-equilibrium distribution function for the electron and holes in semiconductor heterostructures in steady-state conditions. Based on the postulates of local equilibrium, as well as on the integral form of the weighted Gyarmati’s variational principle in the force representation, using an alternative method, we have derived general expr...

carcinogenesis is a multistep process characterized by the gradual accumulation of genetic changes that ultimately lead to cancer. these genetic mutations can impart limitless replicative potential to the cancer cells making them immortal. telomeres are repeat nucleotide sequence ttaggg that are present at the end of chromosomes. its functions are to protect the chromosomal ends and to ensure t...