EN
AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION
Öz
In this paper the variational iteration method is used to compute the solution for the fuzzy fractional order partial differential equations with fuzzy coefficients, fuzzy initial values and fuzzy forcing functions.
We propose an algorithm based on $\alpha$-cut of a fuzzy set. Finally we present some examples by using
our proposed algorithm.
Anahtar Kelimeler
Kaynakça
- S.Arshad, V.Lupulescu. Fractional differential equation with the fuzzy initial conditions. Elect J Differ Equat {34} {2011}1--8.
- S. Arshad, V. Lupulescu, On the fractional differential equations with uncertainty, Nonlinear Analysis {74}, {2011} 3685--3693
- L. S. Chadli, A. Harir and S. Melliani, Fuzzy Euler differential equation, SOP Transactions on Applied Mathematics, volume 2, number 1, January 2015.
- L. S. Chadli, A. Harir and S. Melliani, Solutions of fuzzy heat-like equations by variational iterative method , Annals of Fuzzy Mathematics and Informatics, Volume 10, number 1, 2015, pp 29-44.
- L. S. Chadli, A. Harir and S. Melliani, Solutions of fuzzy wave-like equations by variational iteration method. International Annals of Fuzzy Mathematics and Informatics, volume 8, number 4, 2014, 527-547 .
- P. Diamond, P.E. Kloeden, {Metric Spaces of Fuzzy Sets, Theory and Applications,} World Scienific, Singapore, {1994}.
- B.Dumitru, {Machado José Antnio Tenreiro}, Luo Albert CJ. Fract Dynam Control 2011.
- R. Getschel, W.Voxman, {Elementary fuzzy calculus,} Fuzzy sets and Systems {18} {1986} 31--43.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Ocak 2020
Gönderilme Tarihi
20 Ekim 2019
Kabul Tarihi
27 Şubat 2020
Yayımlandığı Sayı
Yıl 2020 Cilt: 3 Sayı: 1
APA
Harir, A., Said, M., & Saadia, C. (2020). AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION. Journal of Universal Mathematics, 3(1), 11-20. https://doi.org/10.33773/jum.635100
AMA
1.Harir A, Said M, Saadia C. AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION. JUM. 2020;3(1):11-20. doi:10.33773/jum.635100
Chicago
Harir, Atimad, Melliani Said, ve Chadli Saadia. 2020. “AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION”. Journal of Universal Mathematics 3 (1): 11-20. https://doi.org/10.33773/jum.635100.
EndNote
Harir A, Said M, Saadia C (01 Ocak 2020) AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION. Journal of Universal Mathematics 3 1 11–20.
IEEE
[1]A. Harir, M. Said, ve C. Saadia, “AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION”, JUM, c. 3, sy 1, ss. 11–20, Oca. 2020, doi: 10.33773/jum.635100.
ISNAD
Harir, Atimad - Said, Melliani - Saadia, Chadli. “AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION”. Journal of Universal Mathematics 3/1 (01 Ocak 2020): 11-20. https://doi.org/10.33773/jum.635100.
JAMA
1.Harir A, Said M, Saadia C. AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION. JUM. 2020;3:11–20.
MLA
Harir, Atimad, vd. “AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION”. Journal of Universal Mathematics, c. 3, sy 1, Ocak 2020, ss. 11-20, doi:10.33773/jum.635100.
Vancouver
1.Atimad Harir, Melliani Said, Chadli Saadia. AN ALGORITHM FOR THE SOLUTION OF FUZZY FRACTIONAL DIFFERENTIAL EQUATION. JUM. 01 Ocak 2020;3(1):11-20. doi:10.33773/jum.635100