Research Article

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

Volume: 5 Number: 1 March 31, 2021
EN

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

Abstract

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.

Keywords

References

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  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

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 31, 2021

Submission Date

March 13, 2020

Acceptance Date

February 1, 2021

Published in Issue

Year 2021 Volume: 5 Number: 1

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, and 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 (March 1, 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, and M. Khuddush, “Existence and Uniqueness of Positive Solutions for System of (p,q,r)-Laplacian Fractional Order Boundary Value Problems”, ATNAA, vol. 5, no. 1, pp. 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 (March 1, 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, et al. “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, vol. 5, no. 1, Mar. 2021, pp. 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. 2021 Mar. 1;5(1):138-57. doi:10.31197/atnaa.703304

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