Sufficient conditions for extremum of fractional variational problems are formulated with the help Caputo derivatives. The Euler–Lagrange equation is defined in sense and Jacobi derived using this. Again, Wierstrass integral considered functional obtained from transversality conditions. Further, Taylor’s series expansion derivatives integral, Legendre’s sufficient condition problem established....

Radial Basis Functions (RBFs) have been found to be widely successful for the interpolation of scattered data over the last several decades. The numerical solution of nonlinear Partial Differential Equations (PDEs) plays a prominent role in numerical weather forecasting, and many other areas of physics, engineering, and biology. In this paper, Differential Quadrature (DQ) method- based RBFs are...

an azobenzene bridge was introduced into the lower (or smaller) rim of p-tert-butylcalix[8]arene to form 1,5-singly bridged calix[8]arene derivatives, respectively. bridged calix[8]arene of conformationally rigid wereisolated. the stability of the two structures of bridged calix[8]arenes have been compared.the study of organicstructure to form nanoporous structures is a well known in chemistry ...

Introduction: Non-Steroidal Anti-Inflammatory Drugs (NSAIDs) are used in treating pathologic conditions such as fever, pain and inflammation by inhibiting cyclooxygenase and consequently prostaglandin production. Recently , the discovery of different isoforms of this enzyme, Cyclooxygenase-1 (COX-1) and Cyclooxygense-2 (COX-2), has led to the synthesis and introduction of novel drugs with selec...

The application of widely known blending methods for constructing C bivariate functions interpolating scattered data requires the knowledge of the partial derivatives of first order at the vertices of an underlying triangulation. In this paper we consider the method proposed by Nielson that consists in computing estimates of the first order partial derivatives by minimizing an appropriate quadr...

Naphthalene-diimide (NDI)-derived building blocks have been explored extensively for supramolecular assembly as they exhibit attractive photophysical properties, suitable applications in organic optoelectronics. Core-substituted derivatives of the NDI chromophore (cNDI) differ significantly from parent dye terms optical and redox properties. Adequate molecular engineering opportunities substitu...