TY - JOUR
T1 - Positive Solutions for Hilfer Fractional Differential Equation Boundary Value Problems at Resonance
AU - Liu , Zhiyuan
AU - Sun , Shurong
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 695
EP - 707
PY - 2023
DA - 2023/12
SN - 5
DO - http://doi.org/10.12150/jnma.2023.695
UR - https://global-sci.org/intro/article_detail/jnma/22202.html
KW - Fractional differential equation, resonance, Hilfer fractional derivative, positive solution, fixed point index.
AB - <p style="text-align: justify;">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.</p>