International Journal of Modern Mathematical Sciences
ISSN: 2166-286X (online)Search Article(s) by:
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Current Issue: Vol. 13 No. 2or Keyword in Title:
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Table of Content for Vol. 13 No. 2, 2015

Exact Solutions of the Space-Time Fractional Symmetric Regularized Long Wave (SRLW) Equation
Muhammad Shakeel and Syed Tauseef Mohyud-Din
 PP. 101 - 121
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ABSTRACT: In this work, we use the fractional complex transformation which converts nonlinear fractional partial differential equation to nonlinear ordinary differential equation. A fractional novel G´/G-expansion method is used to look for exact solutions of nonlinear evolution equation with the aid of symbolic computation. To check the validity of the method we choose the space-time fractional symmetric regularized long wave (SRLW) equation and as a result, many exact analytical solutions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions. The performance of the method is reliable, useful and gives more new general exact solutions than the existing methods.

Inventory Model with Stock – Level Dependent Demand Rate and Shortages under Trade Credits
 PP. 122 - 136
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ABSTRACT: This paper presents an inventory model with stock level dependent demand rate and shortages under trade credits. We show that the total average cost per unit time is a convex function of time T1, the time when inventory level comes to zero and T, the length of the replenishment cycle. Truncated Taylor’s series expansion is presented to determine the optimal solutions. With the help of optimal solutions some properties have been discussed. The results are discussed with the help of numerical examples to validate the proposed model. Sensitivity analysis with respect to the parameters of the system of the optimal solution with respect to the parameters of the system is presented to illustrate the theoretical results. Mathematica 5.1 software is used for finding numerical results.

On Fractional Integration of Certain Products of Special Functions
V.B.L. Chaurasia and Vinod Gill
 PP. 137 - 151
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ABSTRACT: The object of this paper is to establish an Eulerian integral and a main theorem based upon the fractional operator associated with H-function of several complex variables and multivariable I-function which provide unification and extension of numerous results in the theory of fractional calculus and hitherto lying scattered in the literature. Certain interesting special cases have also been discussed.