ON THE ULAM-HYERS-RASSIAS STABILITY FOR A BOUNDARY VALUE PROBLEM OF IMPLICIT ψ-CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION

被引：0

作者：

Awad, Y. ^{[1
]}

Kaddoura, I. ^{[1
,2
]}

机构：

[1] Lebanese Int Univ, Fac Arts & Sci, Dept Math & Phys, Beirut, Lebanon

[2] Int Univ Beirut, Fac Arts & Sci, Dept Math & Phys, Beirut, Lebanon

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2024年 / 14卷 / 01期

关键词：

Implicit fractional-orders differential equation; 0-Caputo derivative; existence results; boundary value problems; Green's function; Ulam stability; DIFFERENTIAL-EQUATIONS; RESPECT;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to study the existence and uniqueness of a nonlinear implicit 0-Caputo fractional order integro-differential boundary value problem using Schauder's and Banach's fixed point theorems. Besides, we study its stability using Ulam-Hyers-Rassias stability type. Finally, we demonstrate our main findings, with a particular case example included to show the significance of our results.

引用

页码：79 / 93

页数：15

共 50 条

[1] On the solution and Ulam-Hyers-Rassias stability of a Caputo fractional boundary value problem
Castro, Luis P.
Silva, Anabela S.
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (11) : 10809 - 10825
[2] Ulam-Hyers-Rassias Stability for a Class of Fractional Integro-Differential Equations
Capelas de Oliveira, E.
Sousa, J. Vanterler da C.
RESULTS IN MATHEMATICS, 2018, 73 (03)
[3] On the solutions of fractional integro-differential equations involving Ulam-Hyers-Rassias stability results via ?-fractional derivative with boundary value conditions
Karthikeyan, Kulandhivel
Murugapandian, Gobi Selvaraj
Ege, Ozgur
TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (06) : 2500 - 2512
[4] Ulam-Hyers-Rassias stability for a class of nonlinear implicit Hadamard fractional integral boundary value problem with impulses
Zhao, Kaihong
Ma, Shuang
AIMS MATHEMATICS, 2021, 7 (02): : 3169 - 3185
[5] On The Generalized Ulam-Hyers-Rassias Stability For Darboux Problem For Partial Fractional Implicit Differential Equations
Abbas, Said
Benchohra, Mouffak
APPLIED MATHEMATICS E-NOTES, 2014, 14 : 20 - 28
[6] On Ulam-Hyers-Rassias stability of the boundary value problem of Hadamard fractional differential equations of variable order
Bouazza, Zoubida
Souid, Mohammed Said
Rakocevic, Vladimir
AFRIKA MATEMATIKA, 2022, 33 (01)
[7] Generalized Ulam-Hyers-Rassias Stability of Solution for the Caputo Fractional Non-instantaneous Impulsive Integro-differential Equation and Its Application to Fractional RLC Circuit
Shankar, Matap
Bora, Swaroop Nandan
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2023, 42 (04) : 1959 - 1983
[8] Ulam–Hyers–Rassias Stability for a Class of Fractional Integro-Differential Equations
E. Capelas de Oliveira
J. Vanterler da C. Sousa
Results in Mathematics, 2018, 73
[9] EXISTENCE, UNIQUENESS AND HYERS-ULAM-RASSIAS STABILITY OF IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH BOUNDARY CONDITION
Malar, K.
Gowrisankar, C.
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2022, 40 (5-6): : 1089 - 1103
[10] HYERS-ULAM-RASSIAS STABILITY OF A NONLINEAR STOCHASTIC FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATION
Chaharpashlou, Reza
Lopes, Antonio M.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (05): : 2799 - 2808

← 1 2 3 4 5 →