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In this article, we deal with mild solution of special random impulsive fractional differential equations. Initially, we present the existence of the mild solution via Leray-Schauder fixed point method. After that, we establish the exponential stability of the system. Finally, we give examples to illustrate the effectiveness of the theoretical results.

A set of twenty four cowpea (Vigna unguiculata L. Walp) genotypes were evaluated in field conditions for three consequtive seasons based on 13 quantitative characters. A combined analysis of variance revealed a highly significant difference among the genotypes for most of the traits (P

Ameloblastoma is a neoplasm of odontogenic epithelium, especially of enamel organ-type tissue that has not undergone differentiation to the point of hard tissue formation. Granular cell ameloblastoma is a rare condition, accounting for 3.5% of all ameloblastoma. Furthermore, this histologic subtype is considered to be controversial in its potential of recurrence after surgical treatment because cases of recurrence have been described in which the secondary tumor was more aggressive. This article is aimed at portaying a case report of granular cell variant of ameloblastoma affecting a 48-year old male. Keywords: Ameloblastoma, Granular Cell Odontogenic Tumor, Lysosome like organelles.

This paper focuses on the approximate controllability of Hilfer fractional neutral Volterra integro-differential inclusions via almost sectorial operators. Almost sectorial operators, fractional differential, Leray-Schauder fixed point theorem and multivalued maps are used to prove the result. We start by emphasizing the existence of a mild solution and demonstrate the approximate controllability of the fractional system. In addition, an example is presented to demonstrate the principle.

This paper investigates the role of chord-wise flexibility in the propulsive performance and the fluid structure interaction (FSI) dynamics of a flapping fin modelled as a chord-wise flexible cantilever beam with a sinusoidal support motion in an inviscid fluid. Finite element analyses and lumped vortex method have been employed to build the present FSI model. A comparative study of the average thrust coefficients has been carried out to optimize the chord-wise flexibility with respect to maximum thrust co-efficient achieved by the flapping fin. Moreover, the effect of the frequency of the support motion on the thrust coefficient has been looked into in this paper. It has been concluded that the increase in the chord-wise flexibility enhances the propulsive performance and the maximum value of thrust co-efficient is achieved when the flapping fin is actuated with the resonance frequency of the structure.

Agrin controls the formation of the neuromuscular junction. Whether it regulates the differentiation of other types of synapses remains unclear. Therefore, we have studied the role of agrin in cultured hippocampal neurons. Synaptogenesis was severely compromised when agrin expression or function was suppressed by antisense oligonucleotides and specific antibodies. The effects of antisense oligonucleotides were found to be highly specific because they were reversed by adding recombinant agrin and could not be detected in cultures from agrin-deficient animals. Interestingly, the few synapses formed in reduced agrin conditions displayed diminished vesicular turnover, despite a normal appearance at the EM level. Thus, our results demonstrate the necessity of agrin for synaptogenesis in hippocampal neurons.