Dear Colleagues,

Fractional derivatives and integrals are nonlocal operators that can describe processes with non-locality in time and space. A novel and quickly developing area of quantum physics that investigates nonlocal quantum phenomena is the use of fractional calculus in quantum processes. It looks at nonlocal effects found in systems that are time-dependent or long-range at various scales. In recent years, there has been much interest in fractional quantum mechanics. The connection between fractional mechanics and other mathematical and physical disciplines may lead to new research directions, discoveries, and applications. This Special Issue's goal is to bring together scholars and researchers and provide them with a platform to share their innovative findings. The papers' primary areas of interest include theoretical, analytical, and numerical methods combined with state-of-the-art mathematical modeling, recent developments in fractional quantum mechanics, and physical applications in various branches of physics.

This Special Issue contains original research papers on current advances in fractional calculus, such as:

• New developments in fractional quantum mechanics;
• Mathematical aspects of fractional quantum mechanics;
• Application of numerical methods to the problems of fractional quantum mechanics;
• Relativistic fractional quantum mechanics;
• Physical applications of fractional quantum mechanics, including (but not restricted to) Quantum Cosmology and Quantum Gravity, Particle Physics and Quantum Field Theory, Radiation and Laser physics, etc.

Dr. Shahram Jalalzadeh
Dr. Seyed Meraj Mousavi Rasouli
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.

• fractional quantum mechanics 
• fractional derivatives
• Lévy path integrals
• fractional quantum gravity
• fractional quantum cosmology
• fractional optics
• fractional quantum field theory
• numerical methods