Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite  p -Laplacian Operator | Zendy

Shahram Rezapour | Zendy; Sabri T. M. Thabet | Zendy; Mohammed M. Matar | Zendy; Jehad Alzabut | Zendy; Sina Etemad | Zendy

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Some Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite

p

-Laplacian Operator

Author(s) -

Shahram Rezapour,

Sabri T. M. Thabet,

Mohammed M. Matar,

Jehad Alzabut,

Sina Etemad

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 - 10.1155/2021/9554076

Subject(s) - mathematics , operator (biology) , laplace operator , stability (learning theory) , pure mathematics , algebra over a field , mathematical analysis , computer science , biochemistry , chemistry , repressor , transcription factor , gene , machine learning

In this paper, we consider a generalized Caputo boundary value problem of fractional differential equation with composite p -Laplacian operator. Boundary value conditions of this problem are of three-point integral type. First, we obtain Green’s function in relation to the proposed fractional boundary value problem and then for establishing the existence and uniqueness results, we use topological degree theory and Banach contraction principle. Further, we consider a stability analysis of Ulam-Hyers and Ulam-Hyers-Rassias type. To examine the validity of theoretical results, we provide an illustrative example.

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