Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces
By Chokkalingam Ravichandran, Dumitru Băleanu. Advances in Differential Equations, 2013
48 citations recorded by the source corpus.
In this paper, we investigate the existence results for a class of abstract fractional neutral integro-differential evolution systems involving the Caputo derivative in Banach spaces. The main techniques rely on the fractional calculus, properties of characteristic solution operators, Mönch’s fixed point theorem via measures of noncompactness. Particularly, we do not assume that characteristic solution operators are compact. The application is given to illustrate the theory. The results of this article are generalization and improvement of the recent results on this issue. MSC:26A33, 34A12, 47H08, 47H10.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/af6feb317272c3200b1209737a8ca0f98390b5e4
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In Applied Mathematics
In Modeling and Simulation
In Numerical Analysis
Citations in the corpus
- Controllability results for fractional order neutral functional differential inclusions with infinite delay (2017, unknown): “Very recently in [41], Ravichandran et al. established the controllability problem for a class of mixed type impulsive fractional integro-differential equations in Banach spaces by using Banach contraction theorem combined with the fractional calculus theory and solution operator under some weak…”
- Approximate Controllability of Fractional Neutral Stochastic Functional Integro-Differential Inclusions with Infinite Delay (2014, methodology): “Now we present the abstract phase space Bh , which has been used in [8,22].”