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On Local Generalized Ulam–Hyers Stability for Nonlinear Fractional Functional Differential Equation
Joint Authors
Nie, Dongming
Khan Niazi, Azmat Ullah
Ahmed, Bilal
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We discuss the existence of positive solution for a class of nonlinear fractional differential equations with delay involving Caputo derivative.
Well-known Leray–Schauder theorem, Arzela–Ascoli theorem, and Banach contraction principle are used for the fixed point property and existence of a solution.
We establish local generalized Ulam–Hyers stability and local generalized Ulam–Hyers–Rassias stability for the same class of nonlinear fractional neutral differential equations.
The simulation of an example is also given to show the applicability of our results.
American Psychological Association (APA)
Nie, Dongming& Khan Niazi, Azmat Ullah& Ahmed, Bilal. 2020. On Local Generalized Ulam–Hyers Stability for Nonlinear Fractional Functional Differential Equation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1194345
Modern Language Association (MLA)
Nie, Dongming…[et al.]. On Local Generalized Ulam–Hyers Stability for Nonlinear Fractional Functional Differential Equation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1194345
American Medical Association (AMA)
Nie, Dongming& Khan Niazi, Azmat Ullah& Ahmed, Bilal. On Local Generalized Ulam–Hyers Stability for Nonlinear Fractional Functional Differential Equation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1194345
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194345