Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator | Zendy

Abdelatif Boutiara | Zendy; Mohammed M. Matar | Zendy; Mohammed K. A. Kaabar | Zendy; Francisco Martínez | Zendy; Sina Etemad | Zendy; Shahram Rezapour | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator

Author(s) -

Abdelatif Boutiara,

Mohammed M. Matar,

Mohammed K. A. Kaabar,

Francisco Martínez,

Sina Etemad,

Shahram Rezapour

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/9993177

Subject(s) - functional differential equation , mathematics , operator (biology) , differential equation , mathematical analysis , chemistry , biochemistry , repressor , transcription factor , gene

In this paper, a new class of a neutral functional delay differential equation involving the generalized ψ -Caputo derivative is investigated on a partially ordered Banach space. The existence and uniqueness results to the given boundary value problem are established with the help of the Dhage’s technique and Banach contraction principle. Also, we prove other existence criteria by means of the topological degree method. Finally, Ulam-Hyers type stability and its generalized version are studied. Two illustrative examples are presented to demonstrate the validity of our obtained results.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research