Year: 2023
Author: Zhiyuan Liu, Shurong Sun
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 695–707
Abstract
In this paper, we investigate the positive solutions for Hilfer fractional differential equation boundary value problems at resonance. First, we give the expression of the solution with Mittag-Leffler function. Next, we obtain the existence of the positive solutions by using fixed point index theorem. Finally, we give relevant examples to prove our main results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.695
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 695–707
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Fractional differential equation resonance Hilfer fractional derivative positive solution fixed point index.