Recent Developments and Applications of Fractional Differential Equations in Mathematical Physics

Dear Colleagues,

In recent years, fractional differential equations have been extensively used in mathematical models of interesting and important phenomena observed in science and technology. In recent decades, many powerful methods to construct exact and numerical solutions of fractional differential equations have been established and developed, which has led to one of the most exciting advances of nonlinear science and theoretical physics. These relatively new methods proved to be fully synchronized with the complexities of the physical problems. The investigation of exact solutions for nonlinear evolution equations also plays an important role in the study of nonlinear physical phenomena.

This Special Issue aims to combine contributions across a variety of exact, analytical, and numerical solutions of fractional differential equations and invite authors to submit original research and/or domain reviews in various methods. This issue will become an international forum for researchers to present the most recent research and ideas about fractional differential equations using different methods. Original research that reflects the recent theoretical advances and experimental results as well as new topics are invited on all aspects of object tracking.

Potential topics include, but are not limited to:

• New definitions and theories in fractional calculus.
• Fractional mathematical models in applied mathematics.
• Fractional differential/integral equations.
• Exact solutions of fractional differential equations.
• Numerical methods for fractional differential equations.
• Existence, uniqueness, and regularity of solutions.
• Analysis of convergence and stability.
• Applications to science and engineering.
• Further equations in physics and applied mathematics.

Prof. Dr. Ahmet Bekir
Prof. Dr. Adem Cengiz Cevikel
Dr. Emad H.M. Zahran
Guest Editors

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