Analysis of Implicit Type Nonlinear Dynamical Problem of Impulsive Fractional Differential Equations
Joint Authors
Shah, Kamal
Ahmad, Naveed
Ali, Zeeshan
ur Rahman, Ghaus
Zada, Akbar
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-12
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study the existence, uniqueness, and various kinds of Ulam–Hyers stability of the solutions to a nonlinear implicit type dynamical problem of impulsive fractional differential equations with nonlocal boundary conditions involving Caputo derivative.
We develop conditions for uniqueness and existence by using the classical fixed point theorems such as Banach fixed point theorem and Krasnoselskii’s fixed point theorem.
For stability, we utilized classical functional analysis.
Also, an example is given to demonstrate our main theoretical results.
American Psychological Association (APA)
Ahmad, Naveed& Ali, Zeeshan& Shah, Kamal& Zada, Akbar& ur Rahman, Ghaus. 2018. Analysis of Implicit Type Nonlinear Dynamical Problem of Impulsive Fractional Differential Equations. Complexity،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1135065
Modern Language Association (MLA)
Ahmad, Naveed…[et al.]. Analysis of Implicit Type Nonlinear Dynamical Problem of Impulsive Fractional Differential Equations. Complexity No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1135065
American Medical Association (AMA)
Ahmad, Naveed& Ali, Zeeshan& Shah, Kamal& Zada, Akbar& ur Rahman, Ghaus. Analysis of Implicit Type Nonlinear Dynamical Problem of Impulsive Fractional Differential Equations. Complexity. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1135065
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1135065