학술논문
Existence and Hyers-Ulam stability of the solutions to the implicit second-order differential equation.
Document Type
Journal
Author
Kaddoura, I. H. (RL-IUB2-M) AMS Author Profile; Al-Issa, Sh. M. (RL-IUB3-M) AMS Author Profile; Rifai, N. J. (RL-IUB3-M) AMS Author Profile
Source
Subject
26 Real functions -- 26A Functions of one variable
26A33Fractional derivatives and integrals
34Ordinary differential equations -- 34A General theory
34A12Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
34Ordinary differential equations -- 34B Boundary value problems
34B10Nonlocal and multipoint boundary value problems
26A33
34
34A12
34
34B10
Language
English
Abstract
In this paper, the existence of solutions to implicit second-order differential equations of fractional order with integral boundary conditions is established using Krasnoselʹskiĭ's fixed point theorem and Banach's fixed point theorem. In addition, the Hyers-Ulam stability of the solutions is also investigated.