Araştırma Makalesi

Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations

Cilt: 6 Sayı: 2 30 Haziran 2022
PDF İndir
EN

Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations

Öz

In this work we focus on presenting a method for solving local fractional differential equations. This method based on the combination of the Aboodh transform with the local fractional derivative (we can call it local fractional Aboodh transform), where we have provided some important results and properties. We concluded this work by providing illustrative examples, through which we focused on solving some linear local fractional differential equations in order to obtain nondifferential analytical solutions.

Anahtar Kelimeler

Kaynakça

  1. 1] K.S. Aboodh, The new integrale transform "Aboodh transform", Glob. J. Pure. Appl. Math., 9(1), 35-43, 2013.
  2. [2] J. Ahmad, J. Tariq, Application of Aboodh Differential Transform Method on Some Higher Order Problems, Journal of Science and Arts, Year 18, No. 1(42), 5-18, 2018.
  3. [3] J. Ahmad, S.T. Mohyud-Din, H.M. Srivastava and X-J. Yang, Analytic solutions of the Helmholtz and Laplace equations by using local fractional derivative operators, Waves Wavelets Fractals Adv. Anal., 1: 22-26, 2015.
  4. [4] A.A. Alshikh, M.M.A. Mahgoub, Solving System of Ordinary Differential Equations By Aboodh Transform, World Appl. Sci. J., 34(9): 1144-1148, 2016.
  5. [5] A. Ardjouni, A. Djoudi, Existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional di?erential equations, Results in Nonlinear Analysis 2 (2019) No. 3, 136-142.
  6. [6] S. Benzoni, Analyse de Fourier, Universite de Lyon / Lyon 1, France, 2011.
  7. [7] T.M. Elzaki, S.M. Ezaki, On the ELzaki Transform and Ordinary Differential Equation with Variable Coeficients, Adv. Theo. Appl. Math., 6(1), 41-46, 2011.
  8. [8] M. Hamdi Cheri, D. Ziane, A New Numerical Technique for Solving Systems of Nonlinear Fractional Partial Differential Equations, Int. J. Anal. Appl., Vol. 15, Nu. 2, 188-197, 2017.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2022

Gönderilme Tarihi

6 Ağustos 2021

Kabul Tarihi

12 Şubat 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 6 Sayı: 2

Kaynak Göster

APA
Ziane, D., Belgacem, R., & Bokhari, A. (2022). Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations. Advances in the Theory of Nonlinear Analysis and its Application, 6(2), 217-228. https://doi.org/10.31197/atnaa.979506
AMA
1.Ziane D, Belgacem R, Bokhari A. Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations. ATNAA. 2022;6(2):217-228. doi:10.31197/atnaa.979506
Chicago
Ziane, Djelloul, Rachid Belgacem, ve Ahmed Bokhari. 2022. “Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations”. Advances in the Theory of Nonlinear Analysis and its Application 6 (2): 217-28. https://doi.org/10.31197/atnaa.979506.
EndNote
Ziane D, Belgacem R, Bokhari A (01 Haziran 2022) Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations. Advances in the Theory of Nonlinear Analysis and its Application 6 2 217–228.
IEEE
[1]D. Ziane, R. Belgacem, ve A. Bokhari, “Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations”, ATNAA, c. 6, sy 2, ss. 217–228, Haz. 2022, doi: 10.31197/atnaa.979506.
ISNAD
Ziane, Djelloul - Belgacem, Rachid - Bokhari, Ahmed. “Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations”. Advances in the Theory of Nonlinear Analysis and its Application 6/2 (01 Haziran 2022): 217-228. https://doi.org/10.31197/atnaa.979506.
JAMA
1.Ziane D, Belgacem R, Bokhari A. Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations. ATNAA. 2022;6:217–228.
MLA
Ziane, Djelloul, vd. “Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations”. Advances in the Theory of Nonlinear Analysis and its Application, c. 6, sy 2, Haziran 2022, ss. 217-28, doi:10.31197/atnaa.979506.
Vancouver
1.Djelloul Ziane, Rachid Belgacem, Ahmed Bokhari. Local Fractional Aboodh Transform and its Applications to Solve Linear Local Fractional Differential Equations. ATNAA. 01 Haziran 2022;6(2):217-28. doi:10.31197/atnaa.979506