Positive Solutions of a Singular Fractional Boundary Value Problem with r-Laplacian Operators

Author:

Tudorache AlexandruORCID,Luca RodicaORCID

Abstract

We investigate the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with r-Laplacian operators and nonnegative singular nonlinearities depending on fractional integrals, supplemented with nonlocal uncoupled boundary conditions which contain Riemann–Stieltjes integrals and various fractional derivatives. In the proof of our main results we apply the Guo–Krasnosel’skii fixed point theorem of cone expansion and compression of norm type.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference16 articles.

1. Existence and multiplicity of positive solutions for a system of nonlinear fractional multi-point boundary value problems with p-Laplacian operator;Wang;J. Appl. Anal. Comput.,2021

2. Existence of Positive Solutions for a System of Singular Fractional Boundary Value Problems with p-Laplacian Operators

3. Positive solutions for a system of Riemann–Liouville fractional boundary value problems with p-Laplacian operators

4. Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemann–Stieltjes integral boundary value conditions

5. Existence and uniqueness of positive solutions for system of (p,q,r)-Laplacian fractional order boundary value problems;Prasad;Adv. Theory Nonlinear Anal. Appl.,2021

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