Open AccessSome Existence and Stability Criteria to a Generalized FBVP Having Fractional Composite -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 , uniqueness , operator (biology) , laplace operator , boundary value problem , contraction principle , type (biology) , fractional calculus , pure mathematics , mathematical analysis , ecology , biochemistry , chemistry , repressor , biology , transcription factor , gene
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.