Existence and uniqueness of solutions for Ψ-Caputo fractional neutral sequential differential equations on time scales

被引：0

作者：

Chefnaj, Najat ^{[1
]}

Hilal, Khalid ^{[1
]}

Kajouni, Ahmed ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Appl Math & Sci Comp Lab, POB 523, Beni Mellal 23000, Morocco

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2024年

关键词：

Psi-fractional derivative; Psi-fractional; Time scale; Sequential neutral fractional differential equations;

D O I：

10.1007/s12190-024-02179-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the existence and uniqueness of solutions for a class of initial value problems involving implicit fractional differential equations with a fractional Psi-Caputo derivative on time scales. We employ fixed point theorems by Banach, a nonlinear alternative of Leray-Schauder's type, and Krasnoselskii's theorem to establish these results. Finally, we present two examples to demonstrate the effectiveness of the obtained analytical results.

引用

页码：5251 / 5268

页数：18

共 50 条

[41] Existence uniqueness and stability of mild solutions for semilinear ψ-Caputo fractional evolution equations
Suechoei, Apassara
Ngiamsunthorn, Parinya
ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[42] Existence of nonoscillatory solutions for fractional neutral differential equations
Zhou, Yong
Ahmad, Bashir
Alsaedi, Ahmed
APPLIED MATHEMATICS LETTERS, 2017, 72 : 70 - 74
[43] ON THE EXISTENCE AND UNIQUENESS OF POSITIVE PERIODIC SOLUTIONS OF NEUTRAL DIFFERENTIAL EQUATIONS
Gozen, Melek
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2023, 7 (03): : 367 - 379
[44] On the Existence and Uniqueness of Solutions for Neutral-Type Caputo Fractional Differential Equations with Iterated Delays: Hyers-Ulam-Mittag-Leffler Stability
Madamlieva, Ekaterina
Konstantinov, Mihail
MATHEMATICS, 2025, 13 (03)
[45] Existence and uniqueness of mild solutions to impulsive fractional differential equations
Mophou, Gisele M.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1604 - 1615
[46] UNIQUENESS AND EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS
Nyamoradi, Nemat
Bashiri, Tahereh
Vaezpour, S. Mansour
Baleanu, Dumitru
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[47] Analyzing the Existence and Uniqueness of Solutions in Coupled Fractional Differential Equations
Intesham Ansari
Rishika Dubey
Amita Devi
Anoop Kumar
International Journal of Applied and Computational Mathematics, 2025, 11 (2)
[48] Existence and uniqueness of positive solutions for first-order nonlinear Liouville-Caputo fractional differential equations
Ardjouni, Abdelouaheb
Djoudi, Ahcene
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2020, 14 (01): : 381 - 390
[49] EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS FOR FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS
Guswanto, Bambang Hendriya
Suzuki, Takashi
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[50] Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations
Liu, Zhenhai
Li, Xiuwen
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (06) : 1362 - 1373

← 1 2 3 4 5 →