Metric Spaces with Its Application to Fractional Differential Equations
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 14 February 2025 | Viewed by 7689
Special Issue Editors
Interests: algebraic geometry; topology; inequalities; applied mathematics; metric spaces; iteration schemes; fractional partial differential equations
Interests: applied mathematics; metric spaces; nonlinear operators; fractal-fractional model; fractional derivative; FPDE; ODE; PDE
Special Issues, Collections and Topics in MDPI journals
Interests: applied mathematics; fixed point theory; metric spaces; nonlinear operators; ODE; PDE; FDE
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Metric space and fixed point theorems in metric spaces are powerful tools in applied mathematics. Metric space has been proven to be a very interesting topic for researchers who work in fixed point theory. The existence of a solution of differential and integral fractional equations has been proved using the metric space and the fixed point techniques.
In the last century, the study of fractional differential equations became very dynamic. Fractional order operators are actually nonlinear operators but they are more practical than the ones given in the classical form. Fractional order operators have many applications in various scientific fields, such as physics, fluid mechanics, entropy theory, viscoelasticity, chemistry, biology, dynamical systems, signal processing, and so on. Keeping this in mind, virtual many real-world phenomena can become known problems of fractional differential and integral equations.
Some natural phenomena such as, the growth of bacteria, freezing water, brain waves, have been approached in recent years, using the concepts of fractals. Their mathematics has reached major scientific perspectives. Various phenomena having a pulse, rhythm or pattern, have the potential to be modelled by a fractal.
This Special Issue invites and welcomes review, expository, and original research papers addressing state-of-the-art developments in pure and applied mathematics via fractals and fractional calculus, along with their wide-ranging applications in the physical, natural, computational, environmental, engineering, and statistical sciences, all mixed with fixed points techniques. This Special Issue is dedicated, but not limited, to the following topics of interest:
- Metric spaces;
- Fixed points theorems;
- Well-posedness;
- Stability;
- Fractional differential equations with different kernels;
- Fractal patterns;
- Statistical convergence;
- Decision-making problems;
- Numerical and computational methods;
- Mathematical physics;
- Mathematics in biology;
- Intuitionistic fuzzy relations.
Prof. Dr. Khurram Shabbir
Dr. Monica-Felicia Bota
Dr. Liliana Guran
Guest Editors
Manuscript Submission Information
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Keywords
- metric spaces
- fixed points theorems
- well-posedness
- stability
- fractional differential equations with different kernels
- fractal patterns
- statistical convergence
- decision making problems
- numerical and computational methods
- mathematical physics
- mathematics in biology
- intuitionistic fuzzy relations
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