DOAJ Open Access 2024

Positive Solutions to a System of Coupled Hadamard Fractional Boundary Value Problems

Alexandru Tudorache Rodica Luca

Abstrak

We explore the existence, uniqueness, and multiplicity of positive solutions to a system of Hadamard fractional differential equations that contain fractional integral terms. Defined on a finite interval, this system is subject to general coupled nonlocal boundary conditions encompassing Riemann–Stieltjes integrals and Hadamard fractional derivatives. To establish the main results, we employ several fixed-point theorems, namely the Banach contraction mapping principle, the Schauder fixed-point theorem, the Leggett–Williams fixed-point theorem, and the Guo–Krasnosel’skii fixed-point theorem.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (2)

Alexandru Tudorache

Rodica Luca

Format Sitasi

APA MLA BibTeX

Tudorache, A., Luca, R. (2024). Positive Solutions to a System of Coupled Hadamard Fractional Boundary Value Problems. https://doi.org/10.3390/fractalfract8090543

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.3390/fractalfract8090543

Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.3390/fractalfract8090543
Akses: Open Access ✓