Araştırma Makalesi

Exponential operators for Fredholm singular integral equations and space - fractional PDEs

Cilt: 4 Sayı: 4 31 Aralık 2016
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EN

Exponential operators for Fredholm singular integral equations and space - fractional PDEs

Öz

In this article, it is shown that the combined use of exponential operators and special functions provides a powerful tool to solve certain type of fractional PDEs. A system of space fractional partial differential equations is solved. The exponential operators are powerful and effective method for solving certain singular integral equations and fractional partial differential equations with non-constant coefficients. Constructive examples are also provided.

Anahtar Kelimeler

Kaynakça

  1. A.Aghili, H.Zeinali. Advances in Laplace type integral transforms with applications, Indian Journal of Science and Technology, Vol. 7(6), 877-890, June 2014.
  2. A.Aghili. New results involving Airy polynomials, fractional calculus and solution to generalized heat equation. New trends in mathematical sciences. Vol. 3, issue 4, Dec. 2015.pp 133-143.
  3. A.Ansari. Fractional exponential operators and time fractional telegraph equation. Boundary value problems. 2012, Springer.
  4. A.Apelblat. Laplace transforms and their applications, Nova science publishers, Inc, New York, 2012.
  5. B. Davies. Integral transforms and their applications, Springer, USA, 2001.
  6. G.Dattoli. Operational methods, fractional operators and special polynomials. Applied Mathematics and computations.141 (2003) pp 151-159.
  7. G.Dattoli, H.M.Srivastava,K.V.Zhukovsky. Operational methods and differential equations to initial value problems. Applied Mathematics and computations.184 (2007) pp 979-1001.
  8. G.Dattoli, P.E.Ricci C.Cesarano.L.Vasquez. Mathematical and computer modelling.37 (2003)729-733

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

31 Aralık 2016

Gönderilme Tarihi

30 Ocak 2016

Kabul Tarihi

19 Nisan 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 4 Sayı: 4

Kaynak Göster

APA
Aghili, A. (2016). Exponential operators for Fredholm singular integral equations and space - fractional PDEs. New Trends in Mathematical Sciences, 4(4), 90-100. https://izlik.org/JA46YP73AB
AMA
1.Aghili A. Exponential operators for Fredholm singular integral equations and space - fractional PDEs. New Trends in Mathematical Sciences. 2016;4(4):90-100. https://izlik.org/JA46YP73AB
Chicago
Aghili, Arman. 2016. “Exponential operators for Fredholm singular integral equations and space - fractional PDEs”. New Trends in Mathematical Sciences 4 (4): 90-100. https://izlik.org/JA46YP73AB.
EndNote
Aghili A (01 Aralık 2016) Exponential operators for Fredholm singular integral equations and space - fractional PDEs. New Trends in Mathematical Sciences 4 4 90–100.
IEEE
[1]A. Aghili, “Exponential operators for Fredholm singular integral equations and space - fractional PDEs”, New Trends in Mathematical Sciences, c. 4, sy 4, ss. 90–100, Ara. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA46YP73AB
ISNAD
Aghili, Arman. “Exponential operators for Fredholm singular integral equations and space - fractional PDEs”. New Trends in Mathematical Sciences 4/4 (01 Aralık 2016): 90-100. https://izlik.org/JA46YP73AB.
JAMA
1.Aghili A. Exponential operators for Fredholm singular integral equations and space - fractional PDEs. New Trends in Mathematical Sciences. 2016;4:90–100.
MLA
Aghili, Arman. “Exponential operators for Fredholm singular integral equations and space - fractional PDEs”. New Trends in Mathematical Sciences, c. 4, sy 4, Aralık 2016, ss. 90-100, https://izlik.org/JA46YP73AB.
Vancouver
1.Arman Aghili. Exponential operators for Fredholm singular integral equations and space - fractional PDEs. New Trends in Mathematical Sciences [Internet]. 01 Aralık 2016;4(4):90-100. Erişim adresi: https://izlik.org/JA46YP73AB