Existence of Mild Solutions for the Generalized Anti-Periodic Boundary Value Problem to the Fractional Hybird Differential Equations with p(t)-Laplacian Operator
Year: 2025
Type: article
Abstract: The main objective of this work is to discuss the generalized anti-periodic boundary conditions of the generalized Caputo fractional differential equations with p(t)-Laplacian operators. By applying the Schaefer fixed point theorem, the existence of mild solutions to this problem is obtained, which generalizes and enriches the anti-periodic boundary value problem of Caputo fractional hybrid differential equations. Finally, a numerical example is given to verify our main results. The anti-periodic boundary value condition imparts a form of symmetric inversion with respect to the original state, so it exhibits an anti-symmetric structural feature.
Source: Symmetry
DOI: 10.3390/sym17091569
Authors: Jinxiu Liu, Guanghao Jiang, Tengfei Shen
Institution: Huaibei Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4414355727