Araştırma Makalesi

Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations

Cilt: 1 Sayı: 2 20 Aralık 2017
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Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations

Öz

In this paper we investigate the existence of weak solutions under the Pettis integrability assumption for a coupled system of partial integral equations via Hadamard’s fractional integral, by applying the technique of measure of weak noncompactness and Mönch’s fixed point theorem.

Anahtar Kelimeler

Kaynakça

  1. S. Abbas, M. Benchohra and G.M. N’Guérékata, Topics in Fractional Differential Equations, Springer, New York, 2012.
  2. S. Abbas, M. Benchohra and G.M. N’Guérékata, Advanced Fractional Differential and Integral Equations, Nova Science Publishers, New York, 2015.
  3. S. Abbas, M. Benchohra and A.N. Vityuk, On fractional order derivatives and Darboux problem for implicit differential equations, Frac. Calc. Appl. Anal. 15 (2012), 168–182.
  4. R.R. Akhmerov, M.I. Kamenskii, A.S. Patapov, A.E. Rodkina and B.N. Sadovskii, Measures of Noncompactness and Condensing Operators. Birkhauser Verlag, Basel, 1992.
  5. J.C. Alvàrez, Measure of noncompactness and fixed points of nonexpansive condensing mappings in locally convex spaces, Rev. Real. Acad. Cienc. Exact. Fis. Natur. Madrid 79 (1985), 53–66.
  6. J. Bana`s and K. Goebel, Measures of Noncompactness in Banach Spaces, Marcel Dekker, New York, 1980.
  7. M. Benchohra, J.R. Graef and F-Z. Mostefai, Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces, Electron. J. Qual. Theory Differ. Equ. 54 (2010), 1–10.
  8. M. Benchohra, J. Graef and F-Z. Mostefai,Weak solutions for boundary-value problems with nonlinear fractional differential inclusions, Nonlinear Dyn. Syst. Theory 11 (3) (2011), 227–237.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Said Abbas Bu kişi benim

Johnny Henderson Bu kişi benim

Jamal E. Lazreg Bu kişi benim

Yayımlanma Tarihi

20 Aralık 2017

Gönderilme Tarihi

20 Eylül 2017

Kabul Tarihi

7 Aralık 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 1 Sayı: 2

Kaynak Göster

APA
Abbas, S., Benchohra, M., Henderson, J., & Lazreg, J. E. (2017). Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations. Advances in the Theory of Nonlinear Analysis and its Application, 1(2), 136-146. https://doi.org/10.31197/atnaa.379096
AMA
1.Abbas S, Benchohra M, Henderson J, Lazreg JE. Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations. ATNAA. 2017;1(2):136-146. doi:10.31197/atnaa.379096
Chicago
Abbas, Said, Mouffak Benchohra, Johnny Henderson, ve Jamal E. Lazreg. 2017. “Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations”. Advances in the Theory of Nonlinear Analysis and its Application 1 (2): 136-46. https://doi.org/10.31197/atnaa.379096.
EndNote
Abbas S, Benchohra M, Henderson J, Lazreg JE (01 Aralık 2017) Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations. Advances in the Theory of Nonlinear Analysis and its Application 1 2 136–146.
IEEE
[1]S. Abbas, M. Benchohra, J. Henderson, ve J. E. Lazreg, “Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations”, ATNAA, c. 1, sy 2, ss. 136–146, Ara. 2017, doi: 10.31197/atnaa.379096.
ISNAD
Abbas, Said - Benchohra, Mouffak - Henderson, Johnny - Lazreg, Jamal E. “Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations”. Advances in the Theory of Nonlinear Analysis and its Application 1/2 (01 Aralık 2017): 136-146. https://doi.org/10.31197/atnaa.379096.
JAMA
1.Abbas S, Benchohra M, Henderson J, Lazreg JE. Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations. ATNAA. 2017;1:136–146.
MLA
Abbas, Said, vd. “Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations”. Advances in the Theory of Nonlinear Analysis and its Application, c. 1, sy 2, Aralık 2017, ss. 136-4, doi:10.31197/atnaa.379096.
Vancouver
1.Said Abbas, Mouffak Benchohra, Johnny Henderson, Jamal E. Lazreg. Weak Solutions for a Coupled System of Partial Pettis Hadamard Fractional Integral Equations. ATNAA. 01 Aralık 2017;1(2):136-4. doi:10.31197/atnaa.379096

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