Fractional derivatives in spaces of generalized functions

DOI10.2478/S13540-011-0009-5zbMath1273.26012OpenAlexW2058721470MaRDI QIDQ2853350

Mirjana Stojanovic

Publication date: 21 October 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10525/1686

zbMATH Keywords

fractional derivativesanalytical continuationspaces of generalized functionsfractional derivatives of discontinuous functions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fractional derivatives and integrals (26A33) Real-valued functions on manifolds (58C05)

Related Items (4)

Convolutional approach to fractional calculus for distributions of several variables ⋮ Positive solutions for a semipositone fractional boundary value problem with a forcing term ⋮ Fractional relaxation equations of distributed order ⋮ Fractional calculus and pathwise integration for Volterra processes driven by Lévy and martingale noise

Cites Work

• An approach via fractional analysis to non-linearity induced by coarse-graining in space
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I
• The Two Forms of Fractional Relaxation of Distributed Order
• Time distributed-order diffusion-wave equation. I. Volterra-type equation
• Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
• Fractional Calculus: Integral and Differential Equations of Fractional Order
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