Special Issue: Advanced tools and techniques for Conformable Time-Fractional Differential Equations

Abstract: The theory of fractional partial differential equations (FNLEEs) is currently one of the qualitative research fields that are developing the fastest. Lebiniz's letter to L'Hospital on September 30, 1695, on the fractional derivative of order $\alpha=\frac{1}{2}$, marked the beginning of the development of the theory of fractional calculus. The calculus and non-integer order derivatives theory developed by Riemann and Liouville circa 1970. Afterwards, other mathematicians and physicists periodically added to the theory of fractional calculus. Given this, FNLEEs a generalization of regular integration and differentiation to any non-integer order have been used recently in a number of scientific and engineering domains. Fractional calculus has been used recently in a number of fields, including material science, engineering, and medicine. These fields also include discontinuous porous media, complicated biological systems, epidemic spread, RL-RC circuits, and harmonic oscillators. To solve fractional partial differential equations, everyone is thus actively searching for novel, effective, and quick convergent methods. By offering the most recent tools and techniques in this field, as a result of professional research conducted in recent years, this special issue seeks to close this knowledge gap. The contents of this issue will be extensive and up to date. The analytical solutions of nonlinear physical problems are of ultimate requisite since a great deal of mathematical and physical models are explained by FNLEEs. Several contemporary and traditional nonlinear analysis approaches will be used. Along with providing sufficient information on fractional PDEs, it also provides enough basic understanding on fractional derivatives and fractional integral.

 

Keywords: Conformal Fractional Differential Equations; Numerical Methods; Analytical Methods; Traveling wave solutions; Solitary wave solutions

 

Guest Editor

Name: Sidheswar Behera

Affilation: Department of Physics, Veer Surendra Sai University of Technology,Burla, Odisha, Iindia.

E-Mail: sbehera_phy@vssut.ac.in; beherasidheswar246@gmail.com

 

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