Generalized Ulam–Hyers–Rassias Stability Results of Solution for Nonlinear Fractional Differential Problem with Boundary Conditions

The problem of existence and generalized Ulam–Hyers–Rassias stability results for fractional differential equation with boundary conditions on unbounded interval is considered. Based on Schauder’s fixed point theorem, the existence and generalized Ulam–Hyers–Rassias stability results are proved, and...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2021; pp. 1 - 11
Main Authors Naimi, A., Tellab, B., Altayeb, Y., Moumen, A.
Format Journal Article
LanguageEnglish
Published New York Hindawi 23.11.2021
Hindawi Limited
Subjects
Banach spaces
Boundary conditions
Differential equations
Existence theorems
Fixed points (mathematics)
Integral equations
Ordinary differential equations
Stability
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Summary:The problem of existence and generalized Ulam–Hyers–Rassias stability results for fractional differential equation with boundary conditions on unbounded interval is considered. Based on Schauder’s fixed point theorem, the existence and generalized Ulam–Hyers–Rassias stability results are proved, and then some examples are given to illustrate our main results.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/7150739