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

Naimi Abdellouahab | Zendy; Brahim Tellab | Zendy; Yousif Altayeb | Zendy; Abdelkader Moumen | Zendy

Open Access

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

Author(s) -

Naimi Abdellouahab,

Brahim Tellab,

Yousif Altayeb,

Abdelkader Moumen

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/7150739

Subject(s) - mathematics , stability (learning theory) , fixed point theorem , interval (graph theory) , boundary value problem , mathematical analysis , boundary (topology) , nonlinear system , pure mathematics , combinatorics , computer science , physics , quantum mechanics , machine learning

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.

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