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.
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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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description	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.
doi_str_mv	10.1007/s40819-016-0221-4
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subjects	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
title	Findings of Fractional Iterative Differential Equations Involving First Order Derivative
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