Approximate Controllability of a Fractional Neutral Differential System with Deviated Argument in a Banach Space
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DOI: 10.1007/s12591-015-0237-y
Abstract: In this paper, a fractional order neutral differential equation with deviated argument is studied. The existence and uniqueness of mild solution are obtained by using Banach contraction principle without imposing additional assumptions such as compactness,… read more here.
Keywords: controllability fractional; deviated argument; neutral differential; approximate controllability ... See more keywords
Global attractiveness and exponential stability for impulsive fractional neutral stochastic evolution equations driven by fBm
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DOI: 10.1186/s13662-020-2520-7
Abstract: This paper is concerned with a class of fractional neutral stochastic integro-differential equations with impulses driven by fractional Brownian motion (fBm). First, by means of the resolvent operator technique and contraction mapping principle, we can… read more here.
Keywords: global attractiveness; neutral stochastic; fractional neutral; exponential stability ... See more keywords
Ulam-Hyers-Stability for nonlinear fractional neutral differential equations
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DOI: 10.15672/hujms.524435
Abstract: We discuss Ulam-Hyers stability, Ulam-Hyers-Rassias stability and Generalized Ulam-Hyers-Rassias stability for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative by using Picard operator. An example is also given to… read more here.
Keywords: stability nonlinear; nonlinear fractional; hyers stability; differential equations ... See more keywords
Existence results for ψ–Caputo fractional neutral functional integro-differential equations with finite delay
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DOI: 10.3906/mat-2010-9
Abstract: This research article deals with novel two species of initial value problems, one of them, the fractional neutral functional integrodifferential equations, and the other one, the coupled system of fractional neutral functional integrodifferential equations, with… read more here.
Keywords: neutral functional; equations finite; caputo fractional; fractional neutral ... See more keywords