BibTex RIS Kaynak Göster

Joint Laplace-Fourier Transforms For Fractional PDEs

Yıl 2014, Cilt: 2 Sayı: 3, 166 - 177, 01.12.2014

Öz

In this paper, the authors implemented one dimensional Laplace transform to evaluate certain integrals, series and solve non homogeneous fractional PDEs. Illustrative examples are also provided. The results reveal that the integral transforms are very effective and convenient

Kaynakça

  • A.Aghili, H.Zeinali, Integral transform method for solving Volterra Singular integral equations and non homogenous time Fractional PDEs. Gen.Math.Notes, Vol.14, No.1, January 2013, pp.6-20.
  • A.Aghili, H.Zeinali, Integral transform methods for solving fractional PDEs and evaluation of certain integrals and series. Intern journal of physics and mathematical sciences, Vol.2(4),2012.
  • V.A. Ditkin. and Prudnikov,A.P.: Operational Calculus In Two Variables and Its Application ,Pergamon Press, New York,1962.
  • W.W.Bell, Special functions for scientists and engineers, D.Van Nostrand company LTD, Canada, 1968.
  • D.G.Duffy, Transform methods for solving partial differential equations, Chapman and Hall/CRC NewYork,2004.
  • H.J.Glaeske, A.P.Prudnikov, K.A.Skornik, Operational calculus and related topics, Chapman and Hall/CRC, USA, 2006.
  • I. Podlubny, Fractional differential equations, Academic Press, San Diego, CA,1999.
  • A.. D. Polyanin, A. V. Manzhirov, Handbook of integral equations, Chapman and Hall/CRC, USA, 2008.

1. Introduction and Notations

Yıl 2014, Cilt: 2 Sayı: 3, 166 - 177, 01.12.2014

Öz

Kaynakça

  • A.Aghili, H.Zeinali, Integral transform method for solving Volterra Singular integral equations and non homogenous time Fractional PDEs. Gen.Math.Notes, Vol.14, No.1, January 2013, pp.6-20.
  • A.Aghili, H.Zeinali, Integral transform methods for solving fractional PDEs and evaluation of certain integrals and series. Intern journal of physics and mathematical sciences, Vol.2(4),2012.
  • V.A. Ditkin. and Prudnikov,A.P.: Operational Calculus In Two Variables and Its Application ,Pergamon Press, New York,1962.
  • W.W.Bell, Special functions for scientists and engineers, D.Van Nostrand company LTD, Canada, 1968.
  • D.G.Duffy, Transform methods for solving partial differential equations, Chapman and Hall/CRC NewYork,2004.
  • H.J.Glaeske, A.P.Prudnikov, K.A.Skornik, Operational calculus and related topics, Chapman and Hall/CRC, USA, 2006.
  • I. Podlubny, Fractional differential equations, Academic Press, San Diego, CA,1999.
  • A.. D. Polyanin, A. V. Manzhirov, Handbook of integral equations, Chapman and Hall/CRC, USA, 2008.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Bölüm Articles
Yazarlar

Arman Aghili Bu kişi benim

Homa Zeinali Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 2 Sayı: 3

Kaynak Göster

APA Aghili, A., & Zeinali, H. (2014). Joint Laplace-Fourier Transforms For Fractional PDEs. New Trends in Mathematical Sciences, 2(3), 166-177.
AMA Aghili A, Zeinali H. Joint Laplace-Fourier Transforms For Fractional PDEs. New Trends in Mathematical Sciences. Aralık 2014;2(3):166-177.
Chicago Aghili, Arman, ve Homa Zeinali. “Joint Laplace-Fourier Transforms For Fractional PDEs”. New Trends in Mathematical Sciences 2, sy. 3 (Aralık 2014): 166-77.
EndNote Aghili A, Zeinali H (01 Aralık 2014) Joint Laplace-Fourier Transforms For Fractional PDEs. New Trends in Mathematical Sciences 2 3 166–177.
IEEE A. Aghili ve H. Zeinali, “Joint Laplace-Fourier Transforms For Fractional PDEs”, New Trends in Mathematical Sciences, c. 2, sy. 3, ss. 166–177, 2014.
ISNAD Aghili, Arman - Zeinali, Homa. “Joint Laplace-Fourier Transforms For Fractional PDEs”. New Trends in Mathematical Sciences 2/3 (Aralık 2014), 166-177.
JAMA Aghili A, Zeinali H. Joint Laplace-Fourier Transforms For Fractional PDEs. New Trends in Mathematical Sciences. 2014;2:166–177.
MLA Aghili, Arman ve Homa Zeinali. “Joint Laplace-Fourier Transforms For Fractional PDEs”. New Trends in Mathematical Sciences, c. 2, sy. 3, 2014, ss. 166-77.
Vancouver Aghili A, Zeinali H. Joint Laplace-Fourier Transforms For Fractional PDEs. New Trends in Mathematical Sciences. 2014;2(3):166-77.