Nontrivial solutions for a Hadamard fractional integral boundary value problem

Nontrivial solutions for a Hadamard fractional integral boundary value problem

In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved...

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Veröffentlicht in:Electronic research archive 2024-01, Vol.32 (3), p.2120-2136
Hauptverfasser: Zhang, Keyu, Sun, Qian, Xu, Jiafa
Format: Artikel
Sprache:eng
Schlagworte:
hadamard-type fractional-order differential equations
integral boundary value problems
nontrivial solutions
topological degree
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Zusammenfassung:In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved and generalized some results of the existing literature.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.2024096