A Study on the Solutions of a Multiterm FBVP of Variable Order | Zendy

Zoubida Bouazza | Zendy; Sina Etemad | Zendy; Mohammed Said Souıd | Zendy; Shahram Rezapour | Zendy; Francisco Martínez | Zendy; Mohammed K. A. Kaabar | Zendy

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A Study on the Solutions of a Multiterm FBVP of Variable Order

Author(s) -

Zoubida Bouazza,

Sina Etemad,

Mohammed Said Souıd,

Shahram Rezapour,

Francisco Martínez,

Mohammed K. A. Kaabar

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/9939147

Subject(s) - uniqueness , variable (mathematics) , operator (biology) , order (exchange) , nonlinear system , boundary value problem , mathematics , value (mathematics) , point (geometry) , mathematical analysis , physics , statistics , geometry , chemistry , biochemistry , finance , repressor , quantum mechanics , transcription factor , economics , gene

In the present research study, for a given multiterm boundary value problem (BVP) involving the nonlinear fractional differential equation (NnLFDEq) of variable order, the uniqueness-existence properties are analyzed. To arrive at such an aim, we first investigate some specifications of this kind of variable order operator and then derive required criteria confirming the existence of solution. All results in this study are established with the help of two fixed-point theorems and examined by a practical example.

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