Numerical Simulations and Advanced Techniques for Nonlinear Fractional Evolution Models

Dear Colleagues,

Nonlinearity occurs in all complex real-life phenomena. The construction and investigation of nonlinear mathematical models that arise in physics, bio-engineering, optics, fluid dynamics and other fields of science and engineering is necessary to understand the physical framework of the related real-life phenomena. Recently, fractional order models have become popular, due to their memory and hereditary properties, which classic integer order models have failed to offer. However, this requires the development and application of robust and effective techniques to solve nonlinear fractional order mathematical problems.
The aim of this Special Issue is to bring forward the development and applications of innovative mathematical techniques and novel results to provide a deeper insight into complex mechanisms that involve nonlinear fractional order evolution equations. Potential topics include, but are not limited to, the following:

• Solutions of initial and boundary value problems using spline techniques;
• Analytical and semi-analytical methods for solving fractional evolution models;
• Development of nonlinear fractional order models;
• Fractional effects of and solutions to fluid flow problems;
• Optical solutions for fractional order optical systems;
• Dynamical behavior of fractional order models in plasma theory;
• Fractional evolution equations in bio-engineering;
• Fractional effects on solitary wave dynamics;
• Mathematical techniques to solve nonlinear fractional order systems of equations;
• Numerical simulations for fractional order nonlinear evolution equations;
• Approximate solution methods;
• Fractional Bezier models;
• Stability analysis;
• Fractional Difference equations;
• Fractional Integral Inequalities.

Prof. Dr. Ghazala Akram
Dr. Muhammad Abbas
Prof. Dr. Ali Akgul
Dr. Maasoomah Sadaf
Guest Editors

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