September 2024 Multiple solutions for fractional differential equations with $p$-Laplacian through variational method
Ahmad Ghobadi, Shapour Heidarkhani
Adv. Studies: Euro-Tbilisi Math. J. 17(2): 111-121 (September 2024). DOI: 10.32513/asetmj/1932200824022

Abstract

In this paper, using variational methods and critical point theory, we establish the existence of multiple solutions for a class of fractional differential equation with $p$-Laplacian operator. Some recent results are extended and improved. Some examples are presented to demonstrate the application of our main results.

Citation

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Ahmad Ghobadi. Shapour Heidarkhani. "Multiple solutions for fractional differential equations with $p$-Laplacian through variational method." Adv. Studies: Euro-Tbilisi Math. J. 17 (2) 111 - 121, September 2024. https://doi.org/10.32513/asetmj/1932200824022

Information

Received: 19 November 2021; Accepted: 20 October 2023; Published: September 2024
First available in Project Euclid: 1 October 2024

Digital Object Identifier: 10.32513/asetmj/1932200824022

Subjects:
Primary: 34A08
Secondary: 34B15 , 34B40

Keywords: $p$-Laplacian operator , fractional differential equation , Palais-Smale condition , variational methods

Rights: Copyright © 2024 Tbilisi Centre for Mathematical Sciences

Vol.17 • No. 2 • September 2024
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