On defining the distributions delta(r) and (delta ')(r) by conformable derivatives

Jarad, FahdJarad, FahdBaleanu, DumitruAdjabi, YassineAbdeljawad, ThabetBaleanu, DumitruAbdeljawad, Thabet2019-12-202019-12-202018Jarad, Fahd...et al. (2018). On defining the distributions delta(r) and (delta ')(r) by conformable derivatives, Advances in Difference Equations.1687-1847https://hdl.handle.net/20.500.12416/2217In this paper, starting from a fixed delta-sequence, we use the generalized Taylor's formula based on conformable derivatives and the neutrix limit to find the powers of the Dirac delta function delta(r) and (delta')(r) for any r is an element of R.eninfo:eu-repo/semantics/openAccessConformable DerivativeDistributionGeneralized FunctionsDirac Delta FunctionDelta SequenceGalapon PropertyGeneralized Taylor's FormulaNeutrixNeutrix LimitOn defining the distributions delta(r) and (delta ')(r) by conformable derivativesOn Defining the Distributions Delta(R) and (Delta ')(R) by Conformable DerivativesArticle10.1186/s13662-018-1865-7