Multiple positive solutions for a system of $(p_{1}, p_{2}, p_{3})$-Laplacian Hadamard fractional order BVP with parameters-Reference-Cited by-同舟云学术

Multiple positive solutions for a system of $(p_{1}, p_{2}, p_{3})$-Laplacian Hadamard fractional order BVP with parameters

Published:2021-10-02 Issue:1 Volume:2021 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Rao Sabbavarapu Nageswara^ORCID,Ahmadini Abdullah Ali H.^ORCID

Abstract

AbstractIn this article, we are pleased to investigate multiple positive solutions for a system of Hadamard fractional differential equations with

$(p_{1}, p_{2}, p_{3})$

( p 1 , p 2 , p 3 ) -Laplacian operator. The main results rely on the standard tools of different fixed point theorems. Finally, we demonstrate the application of the obtained results with the aid of examples.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-021-03591-7.pdf

Reference45 articles.

1. Ge, F.D., Chen, Y.Q., Kou, C.H., Podlubny, I.: On the regional controllability of the sub-diffusion process with Caputo fractional derivative. Fract. Calc. Appl. Anal. 19, 1262–1281 (2016)

2. Petrás̆, I.: Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation. Springer, Berlin (2011)

3. Garra, R., Giusti, A., Mainardi, F., Pagnini, G.: Fractional relaxation with time-varying coefficient. Fract. Calc. Appl. Anal. 17(2), 424–439 (2014)

4. Wang, T., Wang, G., Yang, X.: On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium. Nonlinear Anal., Model. Control 2017(22), 765–784 (2017)

5. Wang, G., Ren, X., Zhang, L., Ahmad, B.: Explicit iteration and unique positive solution for a Caputo-Hadamard fractional turbulent flow model. IEEE Access 2019(7), 109833–109839 (2019)

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multiple positive solutions for system of mixed Hadamard fractional boundary value problems with $ (p_{1}, p_{2}) $-Laplacian operator;AIMS Mathematics;2023

2. Positive solutions for a class of nonlinear p-Laplacian Hadamard fractional differential systems with coupled nonlocal Riemann-Stieltjes integral boundary conditions;Filomat;2022

3. Positive solutions for a system of Hadamard fractional $ (\varrho_{1}, \varrho_{2}, \varrho_{3}) $-Laplacian operator with a parameter in the boundary;AIMS Mathematics;2022