The Chronicles of Fractional Calculus
By J. Machado, Virginia S. Kiryakova. 2017
143 citations recorded by the source corpus.
Subfields: Mathematical Physics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/304bc10812b4fdf638a6459a302af7a31218b57b
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
In Modeling and Simulation
- Ravi P. Agarwal
- Mouffak Benchohra
- Donal O'Regan
- Bashir Ahmad
- Saïd Abbas
- Snezhana G. Hristova
- J. Henderson
- Yong Zhou
In Numerical Analysis
- Ravi P. Agarwal
- Mouffak Benchohra
- Donal O'Regan
- Bashir Ahmad
- Saïd Abbas
- Snezhana G. Hristova
- J. Henderson
- Rodica Luca
Citations in the corpus
- Existence of solutions for a system of fractional differential equations with coupled nonlocal boundary conditions (2018, background): “Fractional differential equations describe many phenomena in several fields of engineering and scientific disciplines such as physics, biophysics, chemistry, biology (for example, the primary infection with HIV), economics, control theory, signal and image processing, thermoelasticity, aerodynamics,”
- Non-instantaneous impulses in Caputo fractional differential equations (2017, background): “For more details on geometric and physical interpretations of fractional derivatives and for a general historical perspective, we refer the reader to the monographs [18, 31, 33], to the survey papers [37, 38], and the cited references therein.”
- Caputo-Hadamard fractional differential equations in banach spaces (2018, background): “For some fundamental results in the theory of fractional calculus and fractional differential equations we refer the reader to the monographs of Abbas et al. [2, 3, 4], Samko et al. [21], Kilbas et al. [15] and Zhou [24], the papers by Abbas et al. [1, 5, 6, 7], Lakshmikantham et al. [16], Machado a”