Metric Spaces with Its Application to Fractional Differential Equations, Second Edition

Dear Colleagues,

Metric space and fixed point theorems in metric spaces are powerful tools in applied mathematics. Metric space has been proven to be an interesting topic for researchers who work in fixed point theory. The existence of a solution of differential and integral fractional equations has been proven using the metric space and fixed point techniques.

In the last century, the study of fractional differential equations has become increasingly dynamic. Fractional-order operators are actually nonlinear operators but are more practical than those given in the classical form. Fractional-order operators can be employed in various scientific fields, such as physics, fluid mechanics, entropy theory, viscoelasticity, chemistry, biology, dynamical systems, signal processing, and so on. Therefore, many real-world phenomena can become known problems of fractional differential and integral equations.

Some natural phenomena such as the growth of bacteria, the freezing of water and brain waves have been addressed in recent years by using the concept of fractals, with this mathematics being associated with major scientific breakthroughs. Various phenomena with a pulse, rhythm or pattern can be modelled by a fractal.

This Special Issue welcomes the submission of review, expository, and original research papers that address innovative developments in pure and applied mathematics via fractals and fractional calculus; this is in addition to their applications in the physical, natural, computational, environmental, engineering, and statistical sciences, all combined with fixed-point techniques. The scope of this Special Issue includes, but is not limited to, the following topics:

• 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.

Dr. Monica-Felicia Bota
Dr. Liliana Guran
Prof. Dr. Khurram Shabbir
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• 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

• Metric Spaces with Its Application to Fractional Differential Equations in Fractal and Fractional (10 articles)