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

Jarad, FahdAdjabi, YassineBaleanu, DumitruAbdeljawad, ThabetMatematik2019-12-202019-12-202018Jarad, Fahd...et al. (2018). On defining the distributions delta(r) and (delta ')(r) by conformable derivatives, Advances in Difference Equations.1687-1847https://doi.org/10.1186/s13662-018-1865-7Jarad, Fahd/0000-0002-3303-0623In 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 Δ<sup>r</Sup> and (δ′)<sup>r</Sup> by Conformable DerivativesArticle10.1186/s13662-018-1865-72-s2.0-85056084206WOS:000449324100001Q1N/A