Advances in Fractional Special Functions to Solve Nonlinear Equations
Deadline for Manuscript Submissions: July 31, 2026
Prof. Praveen Agarwal Website E-Mail: Goyal.praveen2011@gmail.com
Guest Editor
Anand International College of Engineering, India
Interests: Nonlinear Systems; Fractional Calculus; Integral Transform; Special Functions; Mathematical Physics
Prof. Shilpi Jain Website E-Mail: Shilpijain1310@gmail.com
Guest Editor
Poornima College of Engineering, India
Interests: Relativity Theory; Special Functions; Fractional calculus; Fixed Point Theory
Special Issue Information:
In pure and applied mathematics many areas can be described in terms of nonlinear equations or systems of such equations. In general, there are no available direct methods allowing us to deal with their effective resolution. At the same time, special functions are mathematical tools for solving nonlinear equations. In conclusion, advances in special functions have provided powerful tools for solving nonlinear equations, enabling researchers and practitioners to tackle complex problems across various fields of science and engineering.
The main aim of this special issue is to construct and apply special functions associated with analytical, numerical, and exact methods for nonlinear differential equations which have applications in the field across various scientific disciplines, from physics and engineering to finance and biology. The articles appearing in this special issue are of great interest to researchers working and provide a deep understanding of the most important hot problems in the field of science and engineering.
Keywords:
- Special functions
- Fractional calculus
- optimal methods
- iterative methods
- order of convergence
- nonlinear problem
- computationally efficiency
- derivative-free methods
- multiple zeros
- Frechet-derivative
- Newton-like methods
- local convergence
- semi-local convergence
- Traub–Steffensen method
- divided differences
- basins of attraction
- optimimum function
- Mathematical modeling for science and engineering applications;
- Numerical analysis;
- Mathematical and computational engineering;
- Numerical methods for science and engineering applications;
- Optimization and control in engineering applications;
- Dynamical systems;
- Mathematical physics;
- Analysis of PDEs;
- Classical analysis and ODEs;
- Mathematics in engineering and sciences studies;
- Teaching and assessment methodologies in science and engineering;
- STEM and mathematics education.