Multi-term fractional oscillation integro-differential equations

Multi-term fractional oscillation integro-differential equations

In this paper we study solvability of multi-term Caputo and Riemann-Liouville fractional oscillation integro-differential equations. We show that these equations have unique solutions in the space of functions with square average power growth and derive the solutions in explicit forms.

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Veröffentlicht in:Fractional calculus & applied analysis 2022-08, Vol.25 (4), p.1713-1733
Hauptverfasser: Phung, Tran Dinh, Duc, Dinh Thanh, Tuan, Vu Kim
Format: Artikel
Sprache:eng
Schlagworte:
Abstract Harmonic Analysis
Analysis
Functional Analysis
Integral Transforms
Mathematics
Mathematics and Statistics
Operational Calculus
Original Paper
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Beschreibung
Zusammenfassung:In this paper we study solvability of multi-term Caputo and Riemann-Liouville fractional oscillation integro-differential equations. We show that these equations have unique solutions in the space of functions with square average power growth and derive the solutions in explicit forms.
ISSN:1311-0454
1314-2224
DOI:10.1007/s13540-022-00074-8