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On Defining the Distributions Δ<sup>r</Sup> and (δ′)<sup>r</Sup> by Conformable Derivatives

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2018

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Springeropen

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Abstract

In 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.

Description

Jarad, Fahd/0000-0002-3303-0623

Keywords

Conformable Derivative, Distribution, Generalized Functions, Dirac Delta Function, Delta Sequence, Galapon Property, Generalized Taylor'S Formula, Neutrix, Neutrix Limit

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Jarad, Fahd...et al. (2018). On defining the distributions delta(r) and (delta ')(r) by conformable derivatives, Advances in Difference Equations.

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Q1

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11

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CrossRef : 11

Scopus : 13

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13

checked on Nov 25, 2025

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12

checked on Nov 25, 2025

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5.24901437

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