EXISTENCE AND STABILITY RESULTS OF FRACTIONAL DIFFERENTIAL EQUATIONS MITTAG-LEFFLER KERNEL

被引：0

作者：

Abbas, Ahsan ^{[1
]}

Mehmood, Nayyar ^{[1
]}

Akgul, Ali ^{[2
,3
]}

Amacha, Inas ^{[4
]}

Abdeljawad, Thabet ^{[5
,6
]}

机构：

[1] Int Islamic Univ, Dept Math & Stat, Sect H-10, Islamabad, Pakistan

[2] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye

[3] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[5] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[6] Sefako Makgatho Hlth Sci Univ, Sch Sci & Technol, Dept Math & Appl Math, Ga Rankuwa, South Africa

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年 / 32卷 / 07N08期

关键词：

AB-Caputo Fractional BVP; Existence Results; Schauder Fixed Point Theorem; Uniqueness Krasnoselskii's Fixed Point Theorem; Banach Contraction Principle and Stability; ULAM STABILITY; UNIQUENESS;

D O I：

10.1142/S0218348X24400413

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents the following AB-Caputo fractional boundary value problem (ABC)(0)D(alpha)u(sigma) = G(sigma, u(sigma)), sigma is an element of[0, 1] with integral-type boundary conditions u(0) = 0 = u ''(0), gamma u(1) = lambda integral(1)(0) g(1)(kappa)u(kappa)d kappa, of order 2 < alpha <= 3. Schauder and Krasnoselskii's fixed point theorems are used to find existence results. Uniqueness is obtained via the Banach contraction principle. To investigate the stability of a given problem, Hyers-Ulam stability is discussed. An example is provided to validate our results.

引用

页数：10

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