On Defining the Distributions Δ<sup>r</Sup> and (δ′)<sup>r</Sup> by Conformable Derivatives
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Date
2018
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Springeropen
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GOLD
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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
ORCID
Keywords
Conformable Derivative, Distribution, Generalized Functions, Dirac Delta Function, Delta Sequence, Galapon Property, Generalized Taylor'S Formula, Neutrix, Neutrix Limit, Delta sequence, Astronomy, Dirac delta function, Applications of Generalized Functions in Mathematics and Physics, Evolutionary biology, Conformable matrix, Distribution, Mathematical analysis, Quantum mechanics, Biochemistry, Galapon property, Convergence Analysis of Iterative Methods for Nonlinear Equations, Conformable derivative, Differential equation, Prime (order theory), Neutrino, QA1-939, FOS: Mathematics, Biology, Mathematical Physics, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Physics, Generalized functions, Pure mathematics, Particle physics, Partial differential equation, Limit (mathematics), Dirac (video compression format), Chemistry, Generalized Functions, Delta, Combinatorics, Function (biology), Modeling and Simulation, Mathematical physics, Physical Sciences, Mathematics, Ordinary differential equation, Sequence (biology)
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
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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OpenCitations Citation Count
12
Source
Advances in Difference Equations
Volume
2018
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CrossRef : 11
Scopus : 12
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Mendeley Readers : 2
SCOPUS™ Citations
13
checked on Feb 26, 2026
Web of Science™ Citations
12
checked on Feb 26, 2026
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2
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