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 2023 | |||||||
Articol: |
EXISTENCE OF SOLUTIONS FOR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH RIESZ SPACE DERIVATIVE AND NONLOCAL CONDITIONS. Autori: ȘUAYIP TOPRAKSEVEN. |
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Rezumat: DOI: 10.24193/subbmath.2023.4.01 Received 18 December 2020; Accepted 15 January 2021. Published Online: 2023-12-11 Published Print: 2023-12-30 pp. 701-715 VIEW PDF FULL PDF By using the fixed point theorems, we give sufficient conditions for the existence and uniqueness of solutions for the nonlocal fractional boundary value problem of nonlinear Riesz-Caputo differential equation. The boundedness assumption on the nonlinear term is replaced by growth conditions or by a continuous function. Finally, some examples are presented to illustrate the applications of the obtained results. Mathematics Subject Classification (2010): 26A33, 26D10, 34A60. Keywords: Fractional boundary value problem, Riesz-Caputo fractional derivative, existence and uniqueness, fixed point, nonlocal conditions. |
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