Special Issue "Fuzzy Fractional Calculus: Theories and Applications"

Dear Colleagues,

The subject of fuzzy fractional calculus is a critical part of pure and applied mathematics that investigates the possibility of capturing the uncertain arbitrary order to operators of differentiation and integration, which is considered one of the most suitable instruments to describe varied real-life problems in engineering and applied sciences. Indeed, fuzzy fractional models are more general and appropriate than those of classical models of integer-order, where fractional derivatives and integrations provide a better description of the memory and hereditary features of different materials.

In view of the wide applications in applied sciences, for example, physical, ‎mechanics, biology, chemistry, etc., research on fuzzy calculus of fractional order and other relative ‎topics are dynamic and broad around the world‎. In the previous years, a large number of exploratory papers, several monographs, and ‎many worldwide meetings have borne witness to the expansion of the field.

Potential subjects include, but are not restricted to the following:

• New trends in fuzzy fractional calculus and applications in infectious diseases.
• Mathematical analysis of fuzzy fractional theoretical models.
• Expansion of numerical or analytical methods applied to solve fuzzy fractional differential-integral equations that have applications in physics, medicine, mechanics, and so on.
• Applications of optimization techniques in solving fuzzy fractional optimal control problem and fuzzy fractional inverse problem.
• New methods for solving fuzzy fractional differential-integral equations.
• New definitions and results concern fuzzy fractional calculus theory.
• Fuzzy fractional artificial neural networks and neuro-fractional systems.

Prof. Dr. Omar Abu Arqub
Dr. Mohammed Al-Smadi
Guest Editors

Manuscript Submission Information

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• fuzzy fractional theoretical models
• fuzzy fractional differential-integral equations
• fuzzy optimization techniques
• fuzzy fractional optimal control problem
• fuzzy fractional inverse problem
• fuzzy fractional artificial neural networks