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On a class of abstract degenerate fractional differential equations of parabolic type

Marko Kostić (2018)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we investigate a class of abstract degenerate fractional differential equations with Caputo derivatives. We consider subordinated fractional resolvent families generated by multivalued linear operators, which do have removable singularities at the origin. Semi-linear degenerate fractional Cauchy problems are also considered in this context.

On a class of diffeomorphisms defined by integro-differential operators

Dariusz Idczak, A. Skowron, S. Walczak (2014)

Banach Center Publications

We study an integro-differential operator Φ: H̅¹ → L² of Fredholm type and give sufficient conditions for Φ to be a diffeomorphism. An application to functional equations is presented.

On a class of parabolic integro-differential equations.

Kohl, W. (2000)

Zeitschrift für Analysis und ihre Anwendungen

On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball

Bezzarga, Mounir, Kefi, Khaled (2005)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ball.

On one class of operators associated with differential equations of fractional order.

Aleroev, T.S. (2005)

Sibirskij Matematicheskij Zhurnal

On the Bavrin integro-differential operators and their applications to the solution of functional equations.

Yakshina, A. S. (2003)