Some Properties of Solutions to Multiterm Fractional Boundary Value Problems with p -Laplacian Operator

Author:

Jong KumSong1ORCID,Choi HuiChol1,Jang KyongJun1,Jong SongGuk1,Jon KyongSon1,Ri Ok2

Affiliation:

1. Faculty of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea

2. Kumsong Middle School No.2, Pyongyang, Democratic People’s Republic of Korea

Abstract

In this paper, we study some properties of positive solutions to a class of multipoint boundary value problems for nonlinear multiterm fractional differential equations with p -Laplacian operator. Using the Banach contraction mapping principle, the existence, the uniqueness, the positivity, and the continuous dependency on m -point boundary conditions of the solutions to the given problem are investigated. Also, two examples are presented to demonstrate our main results.

Publisher

Hindawi Limited

Subject

Analysis

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2. On the equation of turbulent filtration in one- dimensional porous media

3. On the propagation properties of a nonlinear degenerate parabolic equation

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