Fractional calculus Sonine kernels General fractional integrals and derivatives Fractional differential equations Numerical solution Fractional dynamics
Issue Date:
15-Jan-2022
Publisher:
Springer
Citation:
Diethelm, K., Kiryakova, V., Luchko, Y., Tenreiro Machado, J. A., Tarasov, V. E.. Trends, Directions for Further Research, and Some Open Problems of Fractional Calculus. Nonlinear Dynamics, 107, Springer, 2022, ISSN:0924-090X, 1573-269X, DOI:10.1007/s11071-021-07158-9, 3245-3270
Series/Report no.:
Nonlinear Dynamics;107, 3245-3270
Abstract:
The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state of development and to foresee, if possible, the future evolution, or, at least, the challenges identified in the scope of advanced research works. This paper gives a vision about the directions for further research as well as some open problems of FC. A number of topics in mathematics, numerical algorithms and physics are analyzed, giving a systematic perspective for future research.
