On the Calculus of Dirac Delta Function with
Some Applications

Khalid Abd Elrazig Awad Alla Elnour

doi:https://doi.org/10.14445/22315373/IJMTT-V56P537

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 4 | Year 2018 | Article Id. IJMTT-V56P537 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P537

On the Calculus of Dirac Delta Function with Some Applications

Khalid Abd Elrazig Awad Alla Elnour

Abstract

In this paper, we present different properties of Dirac delta function, provided with simple proof and definite integral. we obtain some results on the derivative of discontinuous functions, provided with an important problem, to change the traditional mathematical approach to this. The concept of first-order differential equations is developing by using it, to obtain the solution, with some applications on real life problems.

Keywords

Dirac delta function, generalized derivative, sifting problem, Laplace transform. .

References

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Citation :

Khalid Abd Elrazig Awad Alla Elnour, "On the Calculus of Dirac Delta Function with Some Applications," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 4, pp. 258-270, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P537