Next Article in Journal
Approximation in Müntz Spaces MΛ,p of Lp Functions for 1 < p < ∞ and Bases
Next Article in Special Issue
Fractional Fokker-Planck Equation
Previous Article in Journal
An Analysis of the Influence of Graph Theory When Preparing for Programming Contests
Previous Article in Special Issue
From the Underdamped Generalized Elastic Model to the Single Particle Langevin Description
Open AccessArticle

Existence of Mild Solutions for Impulsive Fractional Integro-Differential Inclusions with State-Dependent Delay

Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore 641 042, Tamil Nadu, India
*
Author to whom correspondence should be addressed.
Academic Editor: Rui A.C. Ferreira
Mathematics 2017, 5(1), 9; https://doi.org/10.3390/math5010009
Received: 15 October 2016 / Revised: 4 January 2017 / Accepted: 17 January 2017 / Published: 25 January 2017
(This article belongs to the Special Issue Fractional Differential and Difference Equations)
In this manuscript, we implement Bohnenblust–Karlin’s fixed point theorem to demonstrate the existence of mild solutions for a class of impulsive fractional integro-differential inclusions (IFIDI) with state-dependent delay (SDD) in Banach spaces. An example is provided to illustrate the obtained abstract results. View Full-Text
Keywords: Fractional order differential equations; impulsive conditions; state-dependent delay (SDD); multivalued map; fixed point theorem; Banach space; semigroup theory Fractional order differential equations; impulsive conditions; state-dependent delay (SDD); multivalued map; fixed point theorem; Banach space; semigroup theory
MDPI and ACS Style

Suganya, S.; Mallika Arjunan, M. Existence of Mild Solutions for Impulsive Fractional Integro-Differential Inclusions with State-Dependent Delay. Mathematics 2017, 5, 9.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop