Araştırma Makalesi

A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance

Cilt: 5 Sayı: 3 30 Eylül 2021
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A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance

Öz

In this work, a new class of sequential random differential equations of Airy type is introduced. An existence and uniqueness criteria for stochastic process solutions for the introduced class is discussed. Some notions on β−differential dependance are also introduced. Then, new results on the β−dependance are discussed. At the end, some illustrative examples are discussed.

Anahtar Kelimeler

Kaynakça

  1. [1] S. Abbas, N. Al Arifi, M. Benchohra, J. Graef, Random coupled systems of implicit Caputo-Hadamard fractional differential equations with multi-point boundary conditions in generalized Banach spaces, Dynamics Systems and Applications. 28(2) (2019) 329-350.
  2. [2] S. S. Alshehri, Properties of Airy functions and application to the V-Shape potential, MECSJ. 15 (2018).
  3. [3] C. Burgos, J. C. Cort¨s, A. Debbouche, L. Villafuerte and R.J. Villanueva, Random fractional generalized Airy differential equations/ a probabilistic analysis using mean square calculus, Applied Mathematics and Computation.352 (2019) 15-29.
  4. [4] C. Burgos, J. C. Cort¨s, M.D. Rosello and R.J. Villanueva, Some tools to study random fractional differential equations and applications, Springer. (2020)
  5. [5] Z. Dahmani and M.A. Abdellaouil, On a three point boundary value problem of arbitrary order, Journal of Interdisciplinary Mathematics.19(5-6) (2016) 893-906.
  6. [6] Z. Dahmani, M.A. Abdelaoui and M. Houas, Polynomial solutions for a class of fractional differential equations and systems, Journal of Interdisciplinary Mathematics. 21(3) (2018) 669-680.
  7. [7] Z. Dahmani and L. Marouf, Numerical study of differential equation governing speech gestures with Caputo derivative, Journal of Interdisciplinary Mathematics. 16(4-5) (2013) 287-296.
  8. [8] D. B. Dhaigude, S. G. Jadhav, L.J . Mahmood, Solution of space time fractional partial differential equations by Adomian decomposition method, Bulletin of the Marathwada Mathematical Society.15(1) (2014) 26-37.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yfrah Hafssa Bu kişi benim
Anguilla

Yayımlanma Tarihi

30 Eylül 2021

Gönderilme Tarihi

4 Mart 2021

Kabul Tarihi

21 Nisan 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Dahmani, Z., & Hafssa, Y. (2021). A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance. Advances in the Theory of Nonlinear Analysis and its Application, 5(3), 277-286. https://doi.org/10.31197/atnaa.891115
AMA
1.Dahmani Z, Hafssa Y. A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance. ATNAA. 2021;5(3):277-286. doi:10.31197/atnaa.891115
Chicago
Dahmani, Zoubir, ve Yfrah Hafssa. 2021. “A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance”. Advances in the Theory of Nonlinear Analysis and its Application 5 (3): 277-86. https://doi.org/10.31197/atnaa.891115.
EndNote
Dahmani Z, Hafssa Y (01 Eylül 2021) A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance. Advances in the Theory of Nonlinear Analysis and its Application 5 3 277–286.
IEEE
[1]Z. Dahmani ve Y. Hafssa, “A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance”, ATNAA, c. 5, sy 3, ss. 277–286, Eyl. 2021, doi: 10.31197/atnaa.891115.
ISNAD
Dahmani, Zoubir - Hafssa, Yfrah. “A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance”. Advances in the Theory of Nonlinear Analysis and its Application 5/3 (01 Eylül 2021): 277-286. https://doi.org/10.31197/atnaa.891115.
JAMA
1.Dahmani Z, Hafssa Y. A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance. ATNAA. 2021;5:277–286.
MLA
Dahmani, Zoubir, ve Yfrah Hafssa. “A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance”. Advances in the Theory of Nonlinear Analysis and its Application, c. 5, sy 3, Eylül 2021, ss. 277-86, doi:10.31197/atnaa.891115.
Vancouver
1.Zoubir Dahmani, Yfrah Hafssa. A Sequential Random Airy Type Problem of Fractional Order: Existence, Uniqueness and ß-Differential Dependance. ATNAA. 01 Eylül 2021;5(3):277-86. doi:10.31197/atnaa.891115

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