Results on the existence, uniqueness, and controllability of neutral fractional differential equations in the sense of Atangana-Baleanu derivative

被引：1

作者：

Kalamani, Palaniyappan ^{[1
]}

Raj, A. Stephan Antony ^{[2
]}

Kumar, Pushpendra ^{[3
]}

机构：

[1] Adithya Inst Technol, Dept Math, Coimbatore 641107, Tamil Nadu, India

[2] Rathinam Grp Inst, Dept Math, Kovilpalayam Campus, Coimbatore 641107, Tamil Nadu, India

[3] Univ Johannesburg, Inst Future Knowledge, POB 524,Auckland Pk, ZA-2006 Johannesburg, South Africa

来源：

JOURNAL OF ANALYSIS | 2023年

关键词：

Atangana-Baleanu derivative; Fractional neutral differential equations; Existence and uniqueness; Controllability; Fixed-point theory;

D O I：

10.1007/s41478-023-00685-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, we study multi-derivative non-linear fractional neutral differential equations with non-local conditions using the Atangana-Baleanu (AB) fractional derivative. We derive some novel analyses of the existence, uniqueness and controllability of the solution. Fundamentals of the fixed-point theory are used to achieve the desired results. Finally, an illustrative example is given to verify the theoretical results.

引用

页数：16

共 50 条

[1] Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
Sagar T. Sutar
Kishor D. Kucche
[J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2022, 71 : 647 - 663
[2] Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
Sutar, Sagar T.
Kucche, Kishor D.
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (02) : 647 - 663
[3] New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
Ravichandran, C.
Logeswari, K.
Jarad, Fahd
[J]. CHAOS SOLITONS & FRACTALS, 2019, 125 : 194 - 200
[4] Controllability of semilinear noninstantaneous impulsive neutral stochastic differential equations via Atangana-Baleanu Caputo fractional derivative
Sarwar, Muhammad
Hussain, Sadam
Abodayeh, Kamaleldin
Moonsuwan, Sawitree
Sitthiwirattham, Thanin
[J]. ALEXANDRIA ENGINEERING JOURNAL, 2024, 94 : 149 - 158
[5] A new exploration on existence of fractional neutral integro-differential equations in the concept of Atangana-Baleanu derivative
Logeswari, K.
Ravichandran, C.
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 544
[6] Fuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivative
Vu, Ho
Ghanbari, Behzad
Ngo Van Hoa
[J]. FUZZY SETS AND SYSTEMS, 2022, 429 : 1 - 27
[7] Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay
Aimene, D.
Baleanu, D.
Seba, D.
[J]. CHAOS SOLITONS & FRACTALS, 2019, 128 : 51 - 57
[8] Existence results of a nonlocal impulsive fractional stochastic differential systems with Atangana-Baleanu derivative
Dhayal, Rajesh
Nadeem, Mohd
[J]. JOURNAL OF ANALYSIS, 2024,
[9] Step forward on nonlinear differential equations with the Atangana-Baleanu derivative: Inequalities, existence, uniqueness and method
Atangana, Abdon
Araz, Seda Igret
[J]. CHAOS SOLITONS & FRACTALS, 2023, 173
[10] Results on Impulsive Fractional Integro-Differential Equations Involving Atangana-Baleanu Derivative
Karthikeyan, Kulandhivel
Ege, Ozgur
Karthikeyan, Panjayan
[J]. FILOMAT, 2022, 36 (13) : 4617 - 4627

← 1 2 3 4 5 →