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Kipriyanov's Fractional Calculus Prehistory and Legacy

Lobachevskii Journal of Mathematics. 2023. Vol. 44. No. 8. P. 3411–3429.
M. V. Kukushkin

This paper is partly a historical survey of various approaches and methods in the
fractional calculus, partly a description of the Kipriyanov extraordinary theory in comparisonwith the
classical one. The significance and outstanding methods in constructing the independent Kipriyanov
fractional calculus theory are convexly stressed, also we represent modern results involving the
Kipriyanov operator and corresponding generalization under the semigroup theory point of view.

Research target: Mathematics
Language: English
Full text
DOI
Keywords: Operator theoryEvolution equations
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