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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/18603
Title: Mild solutions for impulsive functional differential equations of order α ∈ (1, 2)
Authors: Gautam G.R.
Dabas J.
Srivastava H.M.
Agrawal P.N.
Singh U.
Mohapatra R.N.
Published in: Proceedings of Springer in Mathematics and Statistics
Abstract: In this research paper, first we develop the definition of mild solutions for impulsive fractional differential equations of order α ∈ (1, 2). Second, we study the uniqueness result of mild solutions for impulsive fractional differential equation with state-dependent delay by applying fixed point theorem and solution operator. At last, we present an example to illustrate the uniqueness result using fractional partial derivatives. © Springer India 2015.
Citation: Proceedings of Springer in Mathematics and Statistics, (2015), 287- 297
URI: https://doi.org/10.1007/978-81-322-2485-3_23
http://repository.iitr.ac.in/handle/123456789/18603
Issue Date: 2015
Publisher: Springer New York LLC
Keywords: Fixed point theorem
Fractional order differential equation
Functional differential equations
Impulsive conditions
ISBN: 9788132224846
ISSN: 21941009
Author Scopus IDs: 55967443000
23396271700
Author Affiliations: Gautam, G.R., Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur, 247001, India
Dabas, J., Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur, 247001, India
Corresponding Author: Gautam, G.R.; Department of Applied Science and Engineering, IIT Roorkee, Saharanpur CampusIndia; email: gangaiitr11@gmail.com
Appears in Collections:Conference Publications [PE]

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