International Journal of Theoretical and Applied Mathematics

Volume 7, Issue 6, December 2021

  • Positive and Negative Solutions of a Class of Fractional Schrödinger Equation

    Jianing Wang

    Issue: Volume 7, Issue 6, December 2021
    Pages: 85-91
    Received: 22 November 2021
    Accepted: 16 December 2021
    Published: 29 December 2021
    Abstract: In this paper, we study the existence of positive and negative solutions for a class of fractional Schrodinger equations. Firstly, we give the definition of fractional Laplace operator and the conditions satisfied by nonlinear terms. This paper introduces the previous progress in this field, and gives the definitions of space and energy functional ... Show More
  • Stochastic Modelling of Claim Frequency in the Ethiopian Motor Insurance Corporation: A Case Study of Hawassa District in Ethiopia

    Mikiyas Gebresamuel Gebru

    Issue: Volume 7, Issue 6, December 2021
    Pages: 92-103
    Received: 18 February 2021
    Accepted: 11 November 2021
    Published: 5 February 2022
    Abstract: The objective of this study is to model seasonal variations in claim intensities and to evaluate the dependency of covariates on claim rates. The data for this study are obtained from claimants registered during September 2009 to August 2011, both inclusive at the Ethiopian Insurance Corporation in Hawassa. We present a procedure for consistent est... Show More