American Journal of Applied Mathematics

Special Issue

Application of Nonlinear Analysis

  • Submission Deadline: Oct. 10, 2020
  • Status: Submission Closed
  • Lead Guest Editor: Farzaneh Nikbakhtsarvestani
About This Special Issue
Since the application of new mathematics in Physics has been considered more that past, in this issue we aim to focus on application of nonlinear analysis. Also the research areas of teamwork enable us for catching this aim. The teamwork agrees that in an article the main result should be allocated to application of pure concepts and theorems. In a typical paper about Fixed point theory and measure of noncompactness stuff, solving the related differential equations can be regarded as applications. However, mentioning the related Physics concept can make the paper more valuable. In Fractional differential equations and Partial differential equations oriented papers the applications of these equations need to be connected directly to Physics or other branch of science problems and its relations should be investigated.
Instantly there are Some models of Physics, chemistry, dynamic and engineering problems which are leaded to a singular fractional differential equations. One can by using of nonlinear analysis methods can considered the existence of solution for such equations. Also it is capable for investigation about optimization and its stability in space C [0.1]. So in explained style the theorems or its generalizations for invoking in such applications are in the section before main result which is as applications part.
The mentioned framework of teamwork can include a wide variety of concepts in nonlinear analysis and they are common in almost research area.
We aim by determining this style and mostly focus on applications; we can serve in science progress.

Aims and Scope:

  1. Application of measure of noncompactness
  2. Fractional Differential Equations
  3. Partial Differential Equations
  4. Application of Fixed point
  5. Approximation Theory
Lead Guest Editor
  • Farzaneh Nikbakhtsarvestani

    Department of Mathematics, University of Manitoba, Winnipeg, Canada

Guest Editors
  • Sujeewa Hapuarachchi

    Department of Mathematics and Statistics, The University of Toledo, Toledo, United States

  • Xiaoming Wang

    School of Mathematics and Computer Science, Shangrao Normal University, Shangrao, China

  • Amir Sahami

    Department of Mathematics, University of Ilam, Ilam, Iran

  • Ali Mahdavi

    Department of Mathematics, University of Ilam, Ilam, Iran

  • Mehdi Shabibi

    Department of Mathematics, Azad University, Mehran, Iran

  • S.Mansour Vaezpour

    Department of Mathematics and Computer Sciences, Amirkabir University, Tehran, Iran

  • Mehdi Asadi

    Department of Mathematics, Azad University, Zanjan, Iran

  • Shahram Rezapour

    Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

  • Ali Mansouri

    Department of Mathematics, Azad University, Arak, Iran

  • Abdorahman Razani

    Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

Published Articles
  • Existence of Traveling Waves for Ratio-dependent Predator-prey System with Nonlocal Diffusion

    Ke Li , Hongmei Cheng

    Issue: Volume 8, Issue 5, October 2020
    Pages: 236-246
    Received: Feb. 18, 2020
    Accepted: Aug. 14, 2020
    Published: Aug. 25, 2020
    DOI: 10.11648/j.ajam.20200805.11
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    Abstract: In this paper, we study the traveling waves for the ratio-dependent predator-prey model with nonlocal diffusion, which is devoted to the existence and nonexistence of traveling wave solution. This model incorporates the ratio-dependent functional response into the Lotka-Volterra type system, and both species obey the logistic growth. Firstly, we co... Show More