Araştırma Makalesi

Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems

Cilt: 5 Sayı: 1 31 Mart 2021
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Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems

Öz

In this paper the existence of unique positive solutions for system of (p,q,r)-Lapalacian Sturm-Liouville type two-point fractional order boundary vaue problems is established by an application of n-fixed point theorem of ternary operators on partially ordered metric spaces.

Anahtar Kelimeler

Kaynakça

  1. [1] V. Berinde, M. Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal., 74 (2011), 4889-4897.
  2. [2] M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian J. of Math. 28(2012), no. 2, 215-222.
  3. [3] A. Cabada, G. Wang, Positive solutions of nonlinear fractional differential equations with integral boundary value condi- tions, J. Math. Anal. Appl. 389, (2012), 403-411.
  4. [4] L. Cadariu, L. Gavruµa and P. Gavruµa, Weighted space method for the stability of some nonlinear equations, Appl. Anal. Discrete Math. 6(2012), no. 1, 126-139.
  5. [5] M.J. De Lemos, Turbulence in Porous Media: Modeling and Applications, Elsevier, (2012).
  6. [6] K. Diethelm, Lectures Notes in Mathematics, The Analysis of Fractional Di?erential Equations, Springer, Berlin, 2010.
  7. [7] S. M. Ege and F. S. Topal, Existence of positive solutions for fractional order boundary value problems, J. Applied Anal. Comp., 7(2) (2017) 702-712.
  8. [8] F. Haddouchi, Positive solutions of p-Laplacian fractional differential equations with fractional derivative boundary condi- tions, (2019). arXiv.1908.03966

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Mart 2021

Gönderilme Tarihi

13 Mart 2020

Kabul Tarihi

1 Şubat 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 5 Sayı: 1

Kaynak Göster

APA
Rajendra Prasad, K., D, L., & Khuddush, M. (2021). Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems. Advances in the Theory of Nonlinear Analysis and its Application, 5(1), 138-157. https://doi.org/10.31197/atnaa.703304
AMA
1.Rajendra Prasad K, D L, Khuddush M. Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems. ATNAA. 2021;5(1):138-157. doi:10.31197/atnaa.703304
Chicago
Rajendra Prasad, Kapula, Leela D, ve Mahammad Khuddush. 2021. “Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems”. Advances in the Theory of Nonlinear Analysis and its Application 5 (1): 138-57. https://doi.org/10.31197/atnaa.703304.
EndNote
Rajendra Prasad K, D L, Khuddush M (01 Mart 2021) Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems. Advances in the Theory of Nonlinear Analysis and its Application 5 1 138–157.
IEEE
[1]K. Rajendra Prasad, L. D, ve M. Khuddush, “Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems”, ATNAA, c. 5, sy 1, ss. 138–157, Mar. 2021, doi: 10.31197/atnaa.703304.
ISNAD
Rajendra Prasad, Kapula - D, Leela - Khuddush, Mahammad. “Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems”. Advances in the Theory of Nonlinear Analysis and its Application 5/1 (01 Mart 2021): 138-157. https://doi.org/10.31197/atnaa.703304.
JAMA
1.Rajendra Prasad K, D L, Khuddush M. Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems. ATNAA. 2021;5:138–157.
MLA
Rajendra Prasad, Kapula, vd. “Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems”. Advances in the Theory of Nonlinear Analysis and its Application, c. 5, sy 1, Mart 2021, ss. 138-57, doi:10.31197/atnaa.703304.
Vancouver
1.Kapula Rajendra Prasad, Leela D, Mahammad Khuddush. Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems. ATNAA. 01 Mart 2021;5(1):138-57. doi:10.31197/atnaa.703304

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