Existence results for Atangana-Baleanu fractional neutral integro-differential systems with infinite delay through sectorial operators

被引：27

作者：

Arjunan, M. Mallika ^{[1
,2
]}

Hamiaz, A. ^{[3
]}

Kavitha, V ^{[4
]}

机构：

[1] SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur 613401, Tamil Nadu, India

[2] Srinivas Univ, Dept Math, Mangaluru 574146, Karnataka, India

[3] Taibah Univ, Coll Sci, Dept Math, POB 30002, Al Madinah Al Munawarah, Saudi Arabia

[4] Karunya Inst Technol & Sci, Sch Sci Arts Media & Management, Dept Math, Coimbatore 641114, Tamil Nadu, India

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 149卷

关键词：

Fractional differential equation; Neutral system; Solution operator; Infinite delay; Fixed point theorem; KELLER-SEGEL MODEL; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.chaos.2021.111042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This manuscript's main objective is to examine the existence of mild solution of Atangana-Baleanu Received 13 December 2020 fractional order semi-linear integro-differential equations [ABFSIDE] and semi-linear neutral integro- Revised 17 April 2021 differential evolution equations [ABFSNIDE] with infinite delay [ID] in Banach spaces. We introduce an Accepted 4 May 2021 appropriate definition of a mild solution for these systems. Based on the Banach contraction principle, Available online 9 June 2021 nonlinear alternative of Leray-Schauder type and Krasnoselskii-Schaefer fixed point theorem joined with 2010 MSC: rho-resolvent operators, we develop the main results. Finally, an example is given to justify the theoretical 34G20 results. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：13

共 38 条

[1] Solution for a fractional diffusion-wave equation defined in a bounded domain [J].

Agrawal, OP .

NONLINEAR DYNAMICS, 2002, 29 (1-4) :145-155

[2] Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay [J].

Aimene, D. ;

Baleanu, D. ;

Seba, D. .

CHAOS SOLITONS & FRACTALS, 2019, 128 :51-57

[3]

[Anonymous], 2012, Math. Appl. (Soviet Ser.)

[4]

[Anonymous], 1993, An Introduction to the Fractional Calculus and Fractional Differential Equations

[5]

Atangana A., 2017, FRACTIONAL OPERATORS

[6]

Atangana A., 2016, DERIVATIVE NEW PARAM

[7] Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination? [J].

Atangana, Abdon .

CHAOS SOLITONS & FRACTALS, 2020, 136 (136)

[8] Analysis of a new partial integro-differential equation with mixed fractional operators [J].

Atangana, Abdon ;

Araz, Seda Igret .

CHAOS SOLITONS & FRACTALS, 2019, 127 :257-271

[9] New numerical method and application to Keller-Segel model with fractional order derivative [J].

Atangana, Abdon ;

Alqahtani, Rubayyi T. .

CHAOS SOLITONS & FRACTALS, 2018, 116 :14-21

[10] Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order [J].

Atangana, Abdon ;

Koca, Ilknur .

CHAOS SOLITONS & FRACTALS, 2016, 89 :447-454

← 1 2 3 4 →