Extension of sampling inequalities to Sobolev semi-norms of fractional order and derivative data

Extension of Colombeau algebra to deriva

Extension of Colombeau algebra to derivatives of arbitrary order , . Application to ODEs and PDEs with entire and fractional derivatives

✍ Mirjana Stojanović 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 936 KB

Extension of Colombeau algebra to derivatives of arbitrary order D α , α ∈ R + ∪ {0} Fractional derivatives Applications to ODEs and PDEs ODEs and PDEs driven by fractional derivatives of delta distribution a b s t r a c t We give an extension of Colombeau algebra of generalized functions to fracti