Pranay Goswami

On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method

We present iteration formulae of a fractional space-time telegraph equation using the combination of fractional variational iteration method and local fractional Laplace transform.

The Solution of Modified Fractional Bergman’s Minimal Blood Glucose-Insulin Model

In the present paper, we use analytical techniques to solve fractional nonlinear differential equations systems that arise in Bergman’s minimal model, used to describe blood glucose and insulin metabolism, after intravenous tolerance testing. We also discuss the stability and uniqueness of the solution.

On the Solution of Generalized Space Time Fractional Telegraph Equation

We present the solution of generalized space time fractional telegraph equation by using Sumudu variational iteration method which is the combination of variational iteration method and Sumudu transform. We tried to overcome the difficulties in finding the value of Lagrange multiplier by this new technique.

Simple sufficient conditions for starlikeness and convexity for meromorphic functions

Abstract In this paper we investigate some extensions of sufficient conditions for meromorphic multivalent functions in the open unit disk to be meromorphic multivalent starlike and convex of order α. Our results unify and extend some starlikeness and convexity conditions for meromorphic multivalent functions obtained by Xu et al. [2], and some interesting special cases are given.

On the solution of linear and nonlinear partial differential equations: applications of local fractional Sumudu variational method

In this paper, the local fractional Sumudu variational iteration method is being used to investigate the solutions of partial differential equations containing the local fractional derivatives. The present technique is the combination of the local fractional Sumudu transform and fractional variational iteration method. Three illustrative examples are given to demonstrate the efficiency of the method. c ©2016 all rights reserved.

Coefficients Estimates of the Class of Biunivalent Functions

Applying the Faber polynomial expansions, we obtain the general coefficient bounds for the class of biunivalent functions with bounded boundary rotations.

Differential Superordinations and Sandwich-Type Results

Let \(\Omega\subset\mathbb{C}\), let p be analytic in the unit disc \(\mathrm{U}=\left\{z\in\mathbb{C}:|z|<1\right\}\), and let \(\psi(r,s,t;z):\mathbb{C}^3\times\mathrm{U}\rightarrow\mathbb{C}\). In a series of articles, S. S. Miller, P. T. Mocanu and many others have determined properties of functions ψ that satisfy the differential subordination (i.e. the differential inclusion)

Extensions of some generalized conditions for starlikeness and convexity

In the present paper we obtain generalized sufficient conditions for the starlikeness and convexity of some normalized analytic functions; the results extend those recently obtained in the work of Uyanik and Owa (J. Inequal. Appl. 2011:87, 2011).MSC:30C45.