Existence of the solution for boundary value problem of fractional differential equations with derivatives involving $ p $-Laplacian operator

Yanping Zheng; Wenxia Wang; Yanping Zheng; Wenxia Wang

doi:10.3934/math.20261210

AIMS Mathematics

2026, Volume 11, Issue 9: 30545-30565. doi: 10.3934/math.20261210

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Research article

Existence of the solution for boundary value problem of fractional differential equations with derivatives involving $ p $-Laplacian operator

Yanping Zheng ^,,
Wenxia Wang

School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China

Received: 25 June 2026 Revised: 29 August 2026 Accepted: 03 September 2026 Published: 20 September 2026
MSC : 34B15, 34B18

This paper was concerned with the existence of the solution for a kind of nonlinear fractional differential equation with derivatives and $ p $-Laplacian operator on the infinite interval. By using Schauder's fixed point theorem, we gave the existence of the solution. In the end, some examples were given to illustrate our main result.
- boundary value problem,
- existence,
- Riemann-Liouville fractional derivative,
- infinite interval,
- $ p $-Laplacian operator
Citation: Yanping Zheng, Wenxia Wang. Existence of the solution for boundary value problem of fractional differential equations with derivatives involving $ p $-Laplacian operator[J]. AIMS Mathematics, 2026, 11(9): 30545-30565. doi: 10.3934/math.20261210

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Abstract

This paper was concerned with the existence of the solution for a kind of nonlinear fractional differential equation with derivatives and $ p $-Laplacian operator on the infinite interval. By using Schauder's fixed point theorem, we gave the existence of the solution. In the end, some examples were given to illustrate our main result.

References

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