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VFAST Transactions on Mathematics    Follow    
  This is an Open Access Journal Open Access journal
     ISSN (Print) 2309-0022 - ISSN (Online) 2309-0022
     Published by Virtual Foundation for Advancement of Science and Technology Homepage  [2 journals]
  • Some sufficient conditions for alpha convex functions of order beta
    • Authors: Muhammad Arif, Askar Ali, Jan Muhammad
      Abstract: The object of the present paper is to obtain new sufficiency criteria for a class of alpha convex functions and then discuss its applications to the generalized integral operator. Many known results appear as a special consequences of our work. Some applications of our work to the generalized integral operator is also given.
      PubDate: 2013-09-08
      Issue No: Vol. 1 (2013)
  • Analytical solution of an SEIV epidemic model by Homotopy Perturbation
    • Authors: saeed Islam, Syed Farasat Saddiq, gul zaman, Muhammad Altaf Khan, Sher Afzal Khan, Farooq Ahmad, Murad Ullah
      Abstract: In this paper, we consider an SEIV epidemic model which represents the interection of infected and susceptible individuals in the population through horizontal transmission. We find the analytical solution of the proposed model by Homotopy perturbation method which is one of the best method for finding the solution of the nonlinear problem. By using this techniques, first, we solve the problem analytically and then compare the numerical results with other standards methods. We also justfy the numerical simulation and their results. Mostly nonlinear problem have upon some difficulties, and their solution is some time difficult to obtain. However, this techniques help us to obtain their approximate as well as analytical solution just after few perturbation terms.
      PubDate: 2013-07-13
      Issue No: Vol. 1 (2013)
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