On a generalized fractional boundary value problem based on the thermostat model and its numerical solutions via Bernstein polynomials

In this paper, we introduce a new structure of the generalized multi-point thermostat control model motivated by its standard model. By presenting integral solution of this boundary problem, the existence property along with the uniqueness property are investigated by means of a special version of contractions named μ-φ-contractions and the Banach contraction principle. Then, on the given nonlinear generalized BVP of thermostat, the Bernstein polynomials are introduced and numerical solutions obtained by them are presented. At the end, three different structures of nonlinear thermostat models are designed and the results are examined.

Urban solid waste management in the municipality of Benito Juarez, Quintana Roo, Mexico

The community of Benito Juarez, Quintana Roo, Mexico, has for decades faced deficiencies in waste management, with repercussions in public health, urban image and natural resource conservation. For this reason, the municipality's administration (2011-2013) created the decentralized public body "Integral Solution of Solid Waste" (SIRESOL). In order to measure the results of the strategies adopted, an evaluation of the agency's performance was carried out. The results identified deficiencies in the design of the SIRESOL.

Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition

In this paper, a class of nondense impulsive differential equations with nonlocal condition in the frame of the conformable fractional derivative is studied. The abstract results concerning the existence, uniqueness and stability of the integral solution are obtained by using the extrapolation semigroup approach combined with some fixed point theorems.