On the solvability and approximate solution of a one-dimensional singular problem for a p-Laplacian fractional differential equation

被引：4

作者：

Jong, KumSong ^{[1
]}

Choi, HuiChol ^{[1
]}

Kim, MunChol ^{[1
]}

Kim, KwangHyok ^{[1
]}

Jo, SinHyok ^{[1
]}

Ri, Ok ^{[2
]}

机构：

[1] Kim II Sung Univ, Fac Math, Pyongyang, North Korea

[2] Kumsong Middle Sch 2, Pyongyang, North Korea

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 147卷

关键词：

Fractional differential equation; p-Laplacian operator; Singular source term; Muti-point boundary value problem; Turbulent flow in porous medium; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; EXISTENCE; SYSTEM; FLOW; UNIQUENESS; OPERATOR; SPACE; MODEL;

D O I：

10.1016/j.chaos.2021.110948

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using the monotone iterative technique, we discuss a new approximate method for solving multi-point boundary value problems of p-Laplacian fractional differential equations with singularities, which are of great importance in the fluid dynamics field. To do this, first, a sequence of auxiliary problems that release the nonlinear source terms contained in the equations from the singularities is set up, and the uniqueness and existence of their positive solutions are established. Next, we show the relative compactness of the sequence of unique solutions to these auxiliary problems to prove the solvability of our given problem. And we present some sufficient conditions to construct a sequence of approximate solutions that converges to an exact solution of our problem. Finally, we give two numerical examples to demonstrate our main results.& nbsp; (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：18

共 56 条

[1] Modeling electro-magneto-hydrodynamic thermo-fluidic transport of biofluids with new trend of fractional derivative without singular kernel [J].