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• W58816093 abstract "As is well-known, there is a number of possibilities for the solution of the fundamental problem of fractional (integro-differential) calculus: find the simplest common generalization of the derivation and integration processes by means of interpolation relating to the index (order) of the mentioned operations. After a brief discussion of the main directions in the development of the theory, a survey of the corresponding application topics is given (theory of functions, integral transformations, theory of approximations and summability, differential and integral equations, operator theory, generalized differentiation of discontinuous functions), particular stress being laid upon some results of the last decades." @default.
• W58816093 created "2016-06-24" @default.
• W58816093 creator A5057939524 @default.
• W58816093 date "1975-01-01" @default.
• W58816093 modified "2023-09-24" @default.
• W58816093 title "On the recent trends in the development, theory and applications of fractional calculus" @default.
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• W58816093 doi "https://doi.org/10.1007/bfb0067119" @default.
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