Araştırma Makalesi

On the numerical solution of nonlinear fractional-integro differential equations

Cilt: 5 Sayı: 3 1 Temmuz 2017
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On the numerical solution of nonlinear fractional-integro differential equations

Abstract

In the present study, a numerical method, perturbation-iteration algorithm (shortly PIA), has been employed to give approximate solutions of some nonlinear Fredholm and Volterra type fractional-integro differential equations (FIDEs). Comparing with the exact solution, the PIA produces reliable and accurate results for FIDEs. 

Keywords

Kaynakça

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  3. Arikoglu A. and Ozkol I., Solution of fractional integro-differential equations by using fractional differential transform method, Chaos Soliton Fract. 40 (2009), 521-529.
  4. Baskonus, H. M. and Bulut H., On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method, Open Math, 13(1) (2015), 547-556.
  5. Baskonus, H. M., Mekkaoui, T., Hammouch, Z. and Bulut, H., Active control of a chaotic fractional order economic system, Entropy, 17(8) (2015), 5771-5783.
  6. Biala T.A., Afolabi Y.O. and Asim O.O., Laplace variational iteration method for integro-differential equations of fractional order, Int J Pure Appl Math. 95.3 (2014), 413-426.
  7. Cavlak E. and Bayram M., An approximate solution of fractional cable equation by homotopy analysis method, Bound. Value Probl., 2014(1), 58.
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Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Hamed Daei Kasmaei Bu kişi benim
Iran

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

5 Aralık 2016

Kabul Tarihi

6 Şubat 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Senol, M., & Kasmaei, H. D. (2017). On the numerical solution of nonlinear fractional-integro differential equations. New Trends in Mathematical Sciences, 5(3), 118-127. https://izlik.org/JA26UR23AA
AMA
1.Senol M, Kasmaei HD. On the numerical solution of nonlinear fractional-integro differential equations. New Trends in Mathematical Sciences. 2017;5(3):118-127. https://izlik.org/JA26UR23AA
Chicago
Senol, Mehmet, ve Hamed Daei Kasmaei. 2017. “On the numerical solution of nonlinear fractional-integro differential equations”. New Trends in Mathematical Sciences 5 (3): 118-27. https://izlik.org/JA26UR23AA.
EndNote
Senol M, Kasmaei HD (01 Temmuz 2017) On the numerical solution of nonlinear fractional-integro differential equations. New Trends in Mathematical Sciences 5 3 118–127.
IEEE
[1]M. Senol ve H. D. Kasmaei, “On the numerical solution of nonlinear fractional-integro differential equations”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 118–127, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA26UR23AA
ISNAD
Senol, Mehmet - Kasmaei, Hamed Daei. “On the numerical solution of nonlinear fractional-integro differential equations”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 118-127. https://izlik.org/JA26UR23AA.
JAMA
1.Senol M, Kasmaei HD. On the numerical solution of nonlinear fractional-integro differential equations. New Trends in Mathematical Sciences. 2017;5:118–127.
MLA
Senol, Mehmet, ve Hamed Daei Kasmaei. “On the numerical solution of nonlinear fractional-integro differential equations”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 118-27, https://izlik.org/JA26UR23AA.
Vancouver
1.Mehmet Senol, Hamed Daei Kasmaei. On the numerical solution of nonlinear fractional-integro differential equations. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):118-27. Erişim adresi: https://izlik.org/JA26UR23AA