AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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STUDIA MATHEMATICA - Ediţia nr.4 din 2021 | |||||||
Articol: |
POSITIVE SOLUTIONS FOR FRACTIONAL DI_ERENTIAL EQUATIONS WITH NON-SEPARATED TYPE NONLOCAL MULTI-POINT AND MULTI-TERM INTEGRAL BOUNDARY CONDITIONS. Autori: HABIB DJOURDEM, SLIMANE BENAICHA. |
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Rezumat: DOI: 10.24193/subbmath. 2021.4.08 Published Online: 2021-12-14 Published Print: 2021-12-30 pp. 691-708 VIEW PDF FULL PDF In this paper, we investigate a class of nonlinear fractional differential equations that contain both the multi-term fractional integral boundary condition and the multi-point boundary condition. By the Krasnoselskii fixed point theorem we obtain the existence of at least one positive solution. Then, we obtain the existence of at least three positive solutions by the Legget-Williams fixed point theorem. Two examples are given to illustrate our main results. Keywords: Fractional differential equations, Riemann-Liouville fractional derivative, multi-term fractional integral boundary condition, fixed point theorems. Mathematics Subject Classification (2010): 34A08, 34B15, 34B18. |
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