24 citations
- University of ViennaAT3 papers
- Institute of Physics BelgradeRS2 papers
- Serbian Academy of Sciences and ArtsRS2 papers
- Universität InnsbruckAT2 papers
- University of Illinois Urbana-ChampaignUS2 papers
- Academy of Engineering Sciences of SerbiaRS1 paper
- Centre Hospitalier Universitaire Pointe-à-PitreGP1 paper
- Centrum Wiskunde & InformaticaNL1 paper
- Czech Academy of Sciences, Institute of MathematicsCZ1 paper
- Département mathématiques, informatique, sciences de la donnée et technologies du numériqueFR1 paper
- Directorate-General Joint Research CentreBE1 paper
- ETH ZurichCH1 paper
5 papers · 1 filter
Distributional framework for solving fractional differential equations
Teodor M. Atanackovic, Ljubica Oparnica, Stevan Pilipovic
We analyze solvability of a special form of distributed order fractional differential equations within the space of tempered distributions supported by the positive half-line.
Semilinear ordinary differential equation coupled with distributed order fractional differential equation
Teodor M. Atanackovic, Ljubica Oparnica, Stevan Pilipovic
System of semilinear ordinary differential equation and fractional differential equation of distributed order is investigated and solved in a mild and classical sense. Such a syste…
Foundations of the calculus of variations in generalized function algebras
Sanja Konjik, Michael Kunzinger, Michael Oberguggenberger
We propose the use of algebras of generalized functions for the analysis of certain highly singular problems in the calculus of variations. After a general study of extremal proble…
Group invariants in algebras of generalized functions
Sanja Konjik, Michael Kunzinger
We study invariance properties of Colombeau generalized functions under actions of smooth Lie transformation groups. Several characterization results analogous to the smooth settin…
Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces
Antoine Delcroix, Maximilian F. Hasler, Stevan Pilipović +1
In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the…