In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set contraction. The obtained results are verified via a supporting example.

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Fused pyrimidine derivatives R 0515 An Investigation Leading to Preparation of Tetrahydro-quinazoline Derivatives Involving Ureidoalkylation and α-Amidoalkylation Reactions. -Multiple substituted quinazolines (VII) are synthesized and evaluated for their effect on cardiovascular (CVS) and central nervous system (CNS). -(PANDEY*, V. K.; MUKESH; KUMAR, A.; TRIVEDI, N.; Indian J.

In the year (1879–1884), George Cantor coined few problems and consequences in the field of set theory. One of them was the Cantor ternary set as a classical example of fractals. In this paper, 5-adic Cantor one-fifth set as an example of fractal string have been introduced. Moreover, the applications of 5-adic Cantor one-fifth set in string theory have also been studied.Electronic supplementary materialThe online version of this article (doi:10.1186/2193-1801-2-654) contains supplementary material, which is available to authorized users.

Main objective of this paper to study Euler graph and it's various aspects in our real world. Now a day's Euler graph got height of achievement in many situations that occur in computer science, physical science, communication science, economics and many other areas can be analysed by using techniques found in a relatively new area of mathematics. The graphs concerns relationship with lines and points (nodes). The Euler graph can be used to represent almost any problem involving discrete arrangements of objects where concern is not with the internal properties of these objects but with relationship among them. To achieve objective I first study basic concepts of graph theory, after that I summarizes the methods that are adopted to find Euler path and Euler cycle.

G be a metric group with metric d (. , .