Findings of Fractional Iterative Differential Equations Involving First Order Derivative

Findings of Fractional Iterative Differential Equations Involving First Order Derivative

In this paper, we deal with the existence outcomes for a fractional iterative differential equation involving first order derivative in a Banach space. The appliance utilized in this study, is the non-expansive operator method and BGK (Browder–Ghode–Kirk) fixed point theorem. The fractional differen...

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Veröffentlicht in:International journal of applied and computational mathematics 2017-09, Vol.3 (3), p.1739-1748
Hauptverfasser: Damag, Faten H., Kılıçman, Adem, Ibrahim, Rabha W.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Applied mathematics
Banach spaces
Computational mathematics
Computational Science and Engineering
Differential equations
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Operators (mathematics)
Original Paper
Theoretical
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Beschreibung
Zusammenfassung:In this paper, we deal with the existence outcomes for a fractional iterative differential equation involving first order derivative in a Banach space. The appliance utilized in this study, is the non-expansive operator method and BGK (Browder–Ghode–Kirk) fixed point theorem. The fractional differential operator is taken in the sense of Riemann–Liouville.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-016-0221-4