Pure and Applied Mathematics Journal

Special Issue

Fractional Calculus and Its Applications

  • Submission Deadline: May 25, 2020
  • Status: Submission Closed
  • Lead Guest Editor: Xianghu Liu
About This Special Issue
Fractional calculus originally arose from the need of defining non-integer order differential operators. The significance of the fractional calculus has been demonstrated to be very effective in various contexts; for example in elasticity, continuum mechanics, quantum mechanics, signal analysis, and some other branches of pure and applied mathematics like nonlinear analysis and nonlinear dynamics.
The fractional differential equations were applied to investigate some anomalous still unsolved problems which appear in science and engineering thus enabling us to face many challenging problems such as non-linear problems, scale depending problems, non-integer dimensional problems, and non-differentiable function. The analytical, numerical methods and the fractional integral transforms can be used to deal with these types of equations.
The main aim of this special issue is to focus on recent and novel developments and achievements in the theory of fractional calculus and its applications.
Aims and Scope:
  1. Dynamical systems based upon fractional calculus
  2. Operators of fractional calculus and their applications
  3. Fractional-order ODEs and PDEs
  4. Fractional calculus and its applications
  5. Fractional-order integro-differential equations
  6. Fixed point theory and monotone operator theory
Lead Guest Editor
  • Xianghu Liu

    Department of Mathematics, Zunyi Normal College, Zunyi, China

Guest Editors
  • Walmik Patil

    Department of Humanities and Sciences, A. C. PAtil College of Engineering, Raigarh(MH), India