SOLVABILITY OF A FRACTIONAL BOUNDARY VALUE PROBLEM WITH <i>P</i>-LAPLACIAN OPERATOR ON AN INFINITE INTERVAL

Xingfang Feng; Yucheng Li

doi:10.11948/20220329

2023 Volume 13 Issue 6

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Article navigation > Journal of Applied Analysis & Computation > 2023 > 13(6): 3087-3106

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Xingfang Feng, Yucheng Li. SOLVABILITY OF A FRACTIONAL BOUNDARY VALUE PROBLEM WITH P-LAPLACIAN OPERATOR ON AN INFINITE INTERVAL[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3087-3106. doi: 10.11948/20220329

Citation:

Xingfang Feng, Yucheng Li. SOLVABILITY OF A FRACTIONAL BOUNDARY VALUE PROBLEM WITH P-LAPLACIAN OPERATOR ON AN INFINITE INTERVAL[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3087-3106. doi: 10.11948/20220329

SOLVABILITY OF A FRACTIONAL BOUNDARY VALUE PROBLEM WITH P-LAPLACIAN OPERATOR ON AN INFINITE INTERVAL

Xingfang Feng^1,2, ,,
Yucheng Li^1,

1.
Department of Mathematics, Hebei Normal University, Shijiazhuang 050024, China
2.
Shijiazhuang Branch, Army Engineering University of PLA, Shijiazhuang 050003, Hebei, China

Author Bio: Email: liyucheng@hebtu.edu.cn(Y. Li)
Corresponding author: Email: fxfg651@163.com(X. Feng)
Fund Project: The authors were supported by for Basic Disciplines of Army Engineering University of PLA (KYSZJQZL2013) and NSFC(12171138)

Abstract

Abstract

In this paper, we extend the third order $ p $-Laplacian boundary value problem researched by S. Iyase and O. Imaga in [11] to the fractional differential equation. Firstly, we construct a mild Banach space and establish an appropriate compactness criterion. Then applying the Schauder's fixed point theorem, we obtain a sufficient condition for existence of at least one solution to the fractional differential equation with $ p $-Laplacian operator on an infinite interval. As an application, an example is given to illustrate our main result.
- Fractional differential equation /
- boundary value problem /
- infinite interval /
- p-Laplacian operator
MSC: 26A33, 34A08, 34B40

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References

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