On Defining the Distributions Δr and (δ′)r by Conformable Derivatives

Abdeljawad, ThabetJarad, FahdAdjabi, YassineBaleanu, Dumitru02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2019-12-202025-09-182019-12-202025-09-182018Jarad, 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/s13662-018-1865-7https://hdl.handle.net/20.500.12416/14254Jarad, 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 Δr and (δ′)r by Conformable DerivativesOn defining the distributions delta(r) and (delta ')(r) by conformable derivativesArticle10.1186/s13662-018-1865-72-s2.0-85056084206