A fractional power approach to fractional calculus

DOI10.1016/0022-247X(90)90049-LzbMath0707.47012MaRDI QIDQ919594

S. E. Schiavone, Wilson Lamb

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

distributional initial value problem involving the wave operatorfractional powers of operators on an arbitrary Fréchet spacemultivariable fractional integrals and derivativestwo-dimensional Riesz fractional integral

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Functional calculus for linear operators (47A60) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Related Items (max. 100)

Convolutional approach to fractional calculus for distributions of several variables ⋮ Unnamed Item ⋮ Fractional glassy relaxation and convolution modules of distributions ⋮ Distributional fractional powers and Riesz fractional integrals ⋮ Universal extrapolation spaces for \(C_0\)-semigroups ⋮ Fractional Klein-Gordon equations and related stochastic processes

Cites Work

• Fractional powers of closed operators and the semigroups generated by them
• On relating two approaches for fractional calculus
• A distributional theory of fractional calculus
• Fractional powers of a class of mellin multiplier transforms part i
• Fraction powers of a class of mellin multiplier transforms part ii
• Fractional powers of a class of mellin multiplier transforms part iii
• Applications of analysis on nilpotent groups to partial differential equations
• Fractional powers of closed operators
• Fractional powers of operators
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