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20012025
most citedVariational Problems with Fractional Derivatives: Euler-Lagrange Equations

166 citations · 694 across the 58 of their papers we have counts for

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Showing 2011Show all

8 papers · 1 filter

math.FA2011★ 11 cited

New classes of weighted Hölder-Zygmund spaces and the wavelet transform

Stevan Pilipovic, Dusan Rakic, Jasson Vindas

We provide a new and elementary proof of the continuity theorem for the wavelet and left-inverse wavelet transforms on the spaces and $ \mathcal{S}(…

math.FA2011

Micro-local analysis in some spaces of ultradistributions

Karoline Johansson, Stevan Pilipovic, Nenad Teofanov +1

In this paper we extend some results from our earlier papers on wave-front sets, concerning wave-front sets of Fourier-Lebesgue and modulation space types, to a broader class of sp…

math.FA2011

Construction of frames for shift-invariant spaces

Stevan Pilipovic, Suzana Simic

We construct a sequence ${ϕ_i(\cdot-j)\mid j\in{\ZZ}, i=1,...,r}$ which constitutes a -frame for the weighted shift-invariant space [V^p_μ(Φ)=\Big{\sum\limits_{i=1}^r\sum\limits…

math.FA2011★ 1 cited

Frames for weighted shift-invariant spaces

Stevan Pilipovic, Suzana Simic

We prove the equivalence of the frame property and the closedness for a weighted shift-invariant space. We also construct a sequence and the sequence of spaces $V^p_μ(Φ^…

math.FA2011★ 2 cited

Suppleness of the sheaf of algebras of generalized functions on manifolds

Stevan Pilipovic, Milica Zigic

We show that the sheaves of algebras of generalized functions and , are open sets in a manifold , are supple, contrary to…

math.FA2011★ 21 cited

Generalized Hamilton's Principle with Fractional Derivatives

Teodor M. Atanackovic, Sanja Konjik, Ljubica Oparnica +1

We generalize Hamilton's principle with fractional derivatives in Lagrangian $L(t,y(t),{}_0D_t^\al y(t),α)$ so that the function and the order of fractional derivative are…