Investigation of Ulam Stability Results of a Coupled System of Nonlinear Implicit Fractional Differential Equations

Investigation of Ulam Stability Results of a Coupled System of Nonlinear Implicit Fractional Differential Equations

This manuscript deals with the existence theory, uniqueness, and various kinds of Ulam–Hyers stability of solutions for a class and coupled system of fractional order differential equations involving Caputo derivatives. Applying Schaefer and Banach’s fixed point approaches, exist...

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Bibliographic Details
Main Authors: Zeeshan Ali, Poom Kumam, Kamal Shah, Akbar Zada
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Mathematics
Subjects:
Caputo fractional derivative
implicit differential equation
Green’s function
implicit coupled system
existence theory
Ulam stability
Online Access:https://www.mdpi.com/2227-7390/7/4/341
Description
Summary:This manuscript deals with the existence theory, uniqueness, and various kinds of Ulam–Hyers stability of solutions for a class and coupled system of fractional order differential equations involving Caputo derivatives. Applying Schaefer and Banach’s fixed point approaches, existence and uniqueness results are obtained for the proposed problems. Stability results are investigated by using the classical technique of nonlinear functional analysis. Examples are given with each problem to illustrate the main results.
ISSN:2227-7390

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