Summer 2024 ON A NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEM INCLUDING A HADAMARD FRACTIONAL DERIVATIVE WITH p-LAPLACIAN
Tugba Senlik Cerdik
J. Integral Equations Applications 36(2): 213-223 (Summer 2024). DOI: 10.1216/jie.2024.36.213

Abstract

We present existence results of the p-Laplacian Hadamard fractional boundary value problem. We analyze the existence of multiple positive solutions for the fractional boundary value problem with the nonlinear term which involves the derivative term with the help of a fixed point theorem. An example is provided to describe the validity of the main result.

Version Information

The current online version of this article, posted on 12 August 2024, supersedes the original version posted on 31 July 2024. The DOI appearing on page 213 has been corrected to read: DOI: 10.1216/jie.2024.36.213

Citation

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Tugba Senlik Cerdik. "ON A NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEM INCLUDING A HADAMARD FRACTIONAL DERIVATIVE WITH p-LAPLACIAN." J. Integral Equations Applications 36 (2) 213 - 223, Summer 2024. https://doi.org/10.1216/jie.2024.36.213

Information

Received: 12 December 2023; Revised: 2 February 2024; Accepted: 21 May 2024; Published: Summer 2024
First available in Project Euclid: 31 July 2024

Digital Object Identifier: 10.1216/jie.2024.36.213

Subjects:
Primary: 34B18
Secondary: 34B10

Keywords: existence results , fractional boundary condition , p-Laplacian operator , positive solution

Rights: Copyright © 2024 Rocky Mountain Mathematics Consortium

Vol.36 • No. 2 • Summer 2024
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