in this manuscript a new method is introduced for solving fractional differential equations. the fractional derivative is described in the caputo sense. the main idea is to use fractional-order legendre wavelets and operational matrix of fractional-order integration. first the fractional-order legendre wavelets (flws) are presented. then a family of piecewise functions is proposed, based on whi...

introduction one of the critical issues associated with sustainability in the twenty-first century is how cities are growing and developing in the space. rapid urban growth and physical development of cities cause disintegration of the spatial organization of cities and consequently spatial inequality between urban spaces. this phenomenon can be considered as spatial segregation or fragmentatio...

The classical term by term integration technique used for obtaining asymptotic expansions of integrals requires the integrand to have an uniform asymptotic expansion in the integration variable. A modification of this method is presented in which the uniformity requirement is substituted by a much weaker condition. As we show in some examples, the relaxation of the uniformity condition provides...

BACKGROUND The explication of relations between clinical and basic sciences can help vertical integration in medical curricula. Concept mapping might be a useful technique for this explication. Little is known about teachers' ability regarding the articulation of integration. We examined therefore which factors affect the learning of groups of clinicians and basic scientists on different expert...

A critical shortcoming of determining co-occurrence probability texture features using Haralick’s popular grey level co-occurrence matrix (GLCM) is the excessive computational burden. In this paper, the design, implementation, and testing of a more efficient algorithm to perform this task are presented. This algorithm, known as the grey level co-occurrence integrated algorithm (GLCIA), is a dra...