Special Issue "Qualitative Analysis of Fractional Differential Systems"

The fractional calculus fields and their applications are the most attractive fields among all scientific researches in recent years. Since many real systems are better described with fractional order differential systems than the corresponding of the integer orders. This characteristic has attracted the scientists and engineers’ interests in the later years and now it is a tool used in almost every area of science.

The fractional differential models are the most interactive researches in this field with various contributions in the theory and applications. The significance of the qualitative analysis of fractional differential systems has been demonstrated to be very effective in many topics such as existence and uniqueness, controllability, stability, positivity, regularity and other areas of pure and applied mathematics of linear and nonlinear analysis.

This special issue aims to present recent contributions and new trends related to the fractional systems and its various applications. We invite researchers to contribute original research papers as well as review articles to this special issue giving new insights into recent achievements.

Topics include but are not limited to the following:

  • Existence and uniqueness of solution for fractional nonlinear systems.
  • Controllability of fractional systems.
  • Stability of fractional systems.
  • Applications of fixed point theorems to fractional differential systems.
  • Regularity of the solution.
  • Iterative methods and algorithms.
  • Numerical solutions of fractional systems.
  • Approximate solutions technique of fractional systems.
  • Fractional differential inclusions.
  • Equilibrium problems with applications in nonlinear Analysis.
  • Special Functions and integral transforms related to fractional systems.

Guest Editors:

  1. Prof. Mohammed M. Matar, Mathematics Department, Al-Azhar University-Gaza, Gaza, State of Palestine
    e-mail: mohammed_mattar@hotmail.com
  2. Prof. K. Balachandran, Department of Mathematics, Bharathiar University, Coimbatore, India
    e-mails: kb.maths.bu@gmail.com,  balachandran_k@lycos.com
  3. Prof. N. Mahmudov, Department of Mathematics, Eastern Mediterranean University, Gazimagusa,. Mersin 10, Turkey
    e-mail: nazim.mahmudov@emu.edu.tr
  4. Prof. J. Alzabut, Department of Mathematics, Prince Sultan University, Riyadh, Saudi Arabia
    e-mail:  jalzabut@psu.edu.sa
  5. Prof. B. Ahmad, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    e-mails: bashirahmad_qau@yahoo.com, bahmad@kau.edu.sa

This special issue is now open for submission.

 

Special Issue "Morrey Spaces and Related Function Spaces"

In connection with elliptic partial differential equations, C. Morrey proposed a weak condition for the solution to be continuous enough in 1938. Later on, his condition became a family of normed spaces and they are called Morrey spaces. Although the notion is originally from the partial differential equations, the space turned out to be important in many branches of mathematics. In fact, in these five years more than 500 papers are written about Morrey spaces. The aim of this special issue is to take up the recent development of Morrey spaces.

From the recent papers, we feel that the following topics are remarkable.

  • Equivalent expression of Morrey spaces.
  • Precise estimate of the Riesz potential operators.
  • Morrey spaces as initial value.
  • Multilinear operators.
  • Weighted estimates.
  • Morrey spaces on general geometric measure spaces.
  • Role of each parameter.
  • Related function spaces. 

Guest Editor:

Dr. Ferit Gürbüz, Hakkari University, Turkey
Email: feritgurbuz@hakkari.edu.tr

This special issue is now open for submission.

 

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