A Nonlinear Fractional Problem with Mixed Volterra-Fredholm Integro-Differential Equation: Existence, Uniqueness, H-U-R Stability, and Regularity of Solutions
Joint Authors
Khaldi, Somia
Mecheraoui, Rachid
Mukheimer, Aiman
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-23
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper considers nonlinear fractional mixed Volterra-Fredholm integro-differential equation with a nonlocal initial condition.
We propose a fixed-point approach to investigate the existence, uniqueness, and Hyers-Ulam-Rassias stability of solutions.
Results of this paper are based on nonstandard assumptions and hypothesis and provide a supplementary result concerning the regularity of solutions.
We show and illustrate the wide validity field of our findings by an example of problem with nonlocal neutral pantograph equation, involving functional derivative and ψ-Caputo fractional derivative.
American Psychological Association (APA)
Khaldi, Somia& Mecheraoui, Rachid& Mukheimer, Aiman. 2020. A Nonlinear Fractional Problem with Mixed Volterra-Fredholm Integro-Differential Equation: Existence, Uniqueness, H-U-R Stability, and Regularity of Solutions. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1185394
Modern Language Association (MLA)
Khaldi, Somia…[et al.]. A Nonlinear Fractional Problem with Mixed Volterra-Fredholm Integro-Differential Equation: Existence, Uniqueness, H-U-R Stability, and Regularity of Solutions. Journal of Function Spaces No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1185394
American Medical Association (AMA)
Khaldi, Somia& Mecheraoui, Rachid& Mukheimer, Aiman. A Nonlinear Fractional Problem with Mixed Volterra-Fredholm Integro-Differential Equation: Existence, Uniqueness, H-U-R Stability, and Regularity of Solutions. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1185394
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185394