Fractional p-Laplacian Equations with Sandwich Pairs-Reference-Cited by-同舟云学术

Fractional p-Laplacian Equations with Sandwich Pairs

Published:2023-05-23 Issue:6 Volume:7 Page:419
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Sousa Jose Vanterler da C.¹^ORCID

Affiliation:

1. Aerospace Engineering, PosGraduate Program in Aerospace Engineering, Department of Mathematics and Informatics, State University of Maranaho, São Luís 65054, Brazil

Abstract

The main purpose of this paper was to consider new sandwich pairs and investigate the existence of a solution for a new class of fractional differential equations with p-Laplacian via variational methods in ψ-fractional space Hpα,β;ψ(Ω). The results obtained in this paper are the first to make use of the theory of ψ-Hilfer fractional operators with p-Laplacian.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/6/419/pdf

Reference40 articles.

1. Samko, S.G., Kilbas, A.A., and Marichev, O. (1993). Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach Science Publishers.

2. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Applications of Fractional Differential Equations, Elsevier. North-Holland Mathematics Studies.

3. Results on the Approximate Controllability of Hilfer Type fractional Semilinear Control Systems;Vijayakumar;Qual. Theory Dyn. Syst.,2023

4. Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability;Ma;Ain Shams Eng. J.,2023

5. Optimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delay;Kavitha;Optim. Control. Appl. Meth.,2023