Existence results for ψ-Caputo fractional neutral functional integro-differential equations with finite delay

被引：15

作者：

Boutiara, Abdellatif ^{[1
]}

Abdo, Mohamed S. ^{[2
]}

Benbachir, Maamar ^{[3
]}

机构：

[1] Univ Ghardaia, Lab Math & Appl Sci, Metlili, Algeria

[2] Hodeidah Univ, Dept Math, Al Hudaydah, Yemen

[3] Saad Dahlab Univ, Fac Sci, Blida, Algeria

来源：

TURKISH JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 06期

关键词：

Delay fractional differential equations; psi-Caputo fractional derivative; existence and stability theory; coupled system; neutral; fixed point theorem; DIFFERENTIAL-EQUATIONS; HADAMARD; DERIVATIVES; STABILITY; RESPECT;

D O I：

10.3906/mat-2010-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This research article deals with novel two species of initial value problems, one of them, the fractional neutral functional integrodifferential equations, and the other one, the coupled system of fractional neutral functional integrodifferential equations, with finite delay and involving a psi-Caputo fractional operator. The existence and uniqueness results are studied through Banach's contraction principle and Krasnoselskii's fixed point theorem. We also establish two various kinds of Ulam stability results for the proposed problems. Further, two pertinent examples are presented to demonstrate the reported results.

引用

页码：2380 / 2401

页数：22

共 45 条

[1] On the Hadamard and Riemann-Liouville fractional neutral functional integrodifferential equations with finite delay [J].

Abbas, Mohamed I. .

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2019, 10 (02) :505-514

[2]

Abdo M.S., 2017, J MATH MODELING, V5, P153

[3] Ulam-Hyers-Mittag-Leffler stability for a ψ-Hilfer problem with fractional order and infinite delay [J].

Abdo, Mohammed S. ;

Panchal, Satish K. ;

Wahash, Hanan A. .

RESULTS IN APPLIED MATHEMATICS, 2020, 7

[4]

Abdo MS, 2019, P INDIAN AS-MATH SCI, V129, DOI 10.1007/s12044-019-0514-8

[5] Weighted Fractional Neutral Functional Differential Equations [J].

Abdo, Mohammed S. ;

Panchal, Satish K. .

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2018, 11 (05) :535-549

[6]

Agarwal A, 2001, PROG INFLAM RES, P141

[7] Existence of fractional neutral functional differential equations [J].

Agarwal, R. P. ;

Zhou, Yong ;

He, Yunyun .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) :1095-1100

[8] INITIAL VALUE PROBLEMS FOR FUNCTIONAL AND NEUTRAL FUNCTIONAL HADAMARD TYPE FRACTIONAL DIFFERENTIAL INCLUSIONS [J].

Ahmad, Bashir ;

Ntouyas, Sotiris K. .

MISKOLC MATHEMATICAL NOTES, 2016, 17 (01) :15-27

[9] A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS [J].

Ahmad, Bashir ;

Ntouyasi, Sotiris K. ;

Tariboon, Jessada .

ACTA MATHEMATICA SCIENTIA, 2016, 36 (06) :1631-1640

[10] Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations [J].

Ali, A. ;

Shah, K. ;

Baleanu, D. .

ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)

← 1 2 3 4 5 →