ARTICLE | doi:10.20944/preprints201810.0589.v1
Subject: Computer Science And Mathematics, Applied Mathematics Keywords: fractional differential equations: impulse; integro-differential equations; non local conditions; fixed point theorem
Online: 25 October 2018 (05:22:06 CEST)
In this paper, we established the existence of PC-mild solutions for non local fractional impulsive functional integro-differential equations with finite delay. The proofs are obtained by using the techniques of fixed point theorems, semi-group theory and generalized Bellman inequality. In this paper, we have used the distributed characteristic operators to define the mild solution of the system. Results obtained here improve and extend some known results.
ARTICLE | doi:10.20944/preprints201607.0063.v1
Subject: Computer Science And Mathematics, Applied Mathematics Keywords: Impulsive conditions, Controllability, Neutral evolution integrodierential equa- tions, Resolvent operators, State dependent delay
Online: 21 July 2016 (03:48:42 CEST)
In this paper, we study the problem of controllability of impulsive neutral evolution integrodifferential equations with state dependent delay in Banach spaces. The main results are completely new and are obtained by using Sadovskii's fixed point theorem, theory of resolvent operators, and an abstract phase space. An example is given to illustrate the theory.