Analysis of p‐Laplacian Hadamard fractional boundary value problems with the derivative term involved in the nonlinear term
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Published:2023-01-15
Issue:8
Volume:46
Page:8945-8955
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ISSN:0170-4214
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Container-title:Mathematical Methods in the Applied Sciences
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language:en
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Short-container-title:Math Methods in App Sciences
Author:
Ciftci Ceren1ORCID,
Yoruk Deren Fulya1ORCID
Affiliation:
1. Department of Mathematics Ege University Izmir Turkey
Abstract
This paper investigates a new class of p‐Laplacian boundary value problems of Hadamard type fractional differential equations. We emphasize that few works on Hadamard fractional boundary value problems include p‐Laplacian Hadamard type fractional differential equations with nonlinear terms involving Hadamard fractional derivatives of unknown functions. By means of the five functional fixed point theorem, multiple positive solutions are established for the p‐Laplacian Hadamard fractional boundary value problem. An example is constructed for illustration of the main result.
Subject
General Engineering,General Mathematics