Araştırma Makalesi

Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions

Cilt: 5 Sayı: 3 30 Eylül 2021
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Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions

Öz

In this work, we study existence and uniqueness of solutions for a coupled system of nonlinear fractional di¤erential equations involving two Caputo-Hadamard-type fractional derivatives. By applying the Banach's fixed point theorem and Shaefer's fixed point theorem, the existence of solutions is obtained.The results obtained in this work are well illustrated with the aid of examples.

Anahtar Kelimeler

Kaynakça

  1. [1 ]S. Abbas, M. Benchohra, J. Lazreg and J.J Nieto. On a coupled system of Hilfer-Hadamard fractional differentialequations in Banach spaces. J. Nonlinear Funct. Anal.2018, Article ID 12 (2018).
  2. [2] M. Benchohra, S. Hamani and S. K. Ntouyas. Boundary value problems for differential equations with fractional order and nonlocal conditions. Nonlinear Anal. 71 (2009), (7-8), 2391-2396.
  3. [3] W. Benhamida, S. Hamani and J. Henderson. Boundary value problems for Caputo-Hadamard fractional differential equations. Advances in the Theory of Nonlinear Analysis and its Applications. 2 (3), (2018), 138-145.
  4. [4] W. Benhamida, J. Henderson and S. Hamani. Boundary value problems for Hadamard fractional di¤erential equations with nonlocal multi-point boundary conditions. Fractional Di¤erential Calculus. 8(1), (2018), 165-176.
  5. [5] Z. Dahmani, S. Belarbi. New results for fractional evolution equations using Banach fixed point theorem. Int. J. Nonlinear Anal. Appl. 5(2), (2014), 22-30.
  6. [6] Z. Dahmani, L. Tabharit. Fractional order differential equations involving Caputo derivative. Theory Appl. Math. Comput. Sci. 4(1) (2014), 40-55.
  7. [7] M. Houas, Solvability of a system of fractional hybrid differential equations. Commun. Optim. Theory. Article ID12, (2018), 1-9.
  8. [8] M. Houas, Z. Dahmani and M. Benbachir, New results for a boundary value problem for di¤erential equations of arbitrary order. International Journal of Modern Mathematical Sciences. 7 (2013), 195-211.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Eylül 2021

Gönderilme Tarihi

1 Şubat 2020

Kabul Tarihi

1 Nisan 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Mohamed, H. (2021). Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions. Advances in the Theory of Nonlinear Analysis and its Application, 5(3), 316-329. https://doi.org/10.31197/atnaa.683278
AMA
1.Mohamed H. Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions. ATNAA. 2021;5(3):316-329. doi:10.31197/atnaa.683278
Chicago
Mohamed, Houas. 2021. “Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions”. Advances in the Theory of Nonlinear Analysis and its Application 5 (3): 316-29. https://doi.org/10.31197/atnaa.683278.
EndNote
Mohamed H (01 Eylül 2021) Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions. Advances in the Theory of Nonlinear Analysis and its Application 5 3 316–329.
IEEE
[1]H. Mohamed, “Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions”, ATNAA, c. 5, sy 3, ss. 316–329, Eyl. 2021, doi: 10.31197/atnaa.683278.
ISNAD
Mohamed, Houas. “Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions”. Advances in the Theory of Nonlinear Analysis and its Application 5/3 (01 Eylül 2021): 316-329. https://doi.org/10.31197/atnaa.683278.
JAMA
1.Mohamed H. Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions. ATNAA. 2021;5:316–329.
MLA
Mohamed, Houas. “Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions”. Advances in the Theory of Nonlinear Analysis and its Application, c. 5, sy 3, Eylül 2021, ss. 316-29, doi:10.31197/atnaa.683278.
Vancouver
1.Houas Mohamed. Existence of solutions for a coupled system of Caputo-Hadamard type fractional di¤erential equations with Hadamard fractional integral conditions. ATNAA. 01 Eylül 2021;5(3):316-29. doi:10.31197/atnaa.683278

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