Existence of solutions of some boundary value problems with impulsive conditions and ABC-fractional order

被引：3

作者：

Afshari, Hojjat ^{[1
]}

Roomi, Vahid ^{[2
]}

Kalantari, Sabileh ^{[2
]}

机构：

[1] Univ Bonab, Dept Math, Fac Sci, Bonab, Iran

[2] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

来源：

FILOMAT | 2023年 / 37卷 / 11期

关键词：

Atangana Baleanu Capotu derivative; Iimpulsive conditions; Fixed point; Boundary value problem; DIFFERENTIAL-EQUATIONS; CAPUTO;

D O I：

10.2298/FIL2311639A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article discusses on topics about the integral boundary value problems with impulsive conditions. Using a generalized contraction, the existence of solutions of an initial boundary value problem involving Atangana Baleanu Capotu-fractional order (in Mittag-Lefler kernel sense) will also be investigated and some important results will be presented. Two examples are provided to illustrate the results.

引用

页码：3639 / 3648

页数：10

共 50 条

[21] Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions
Nyamoradi, Nemat
Baleanu, Dumitru
Agarwal, Ravi P.
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[22] Existence and uniqueness of positive solutions to fractional boundary value problems with nonlinear boundary conditions
Nemat Nyamoradi
Dumitru Baleanu
Ravi P Agarwal
[J]. Advances in Difference Equations, 2013
[23] Solutions of Some Problems of Fractional-Differential Filtration Dynamics Based on Models with ABC-Fractional Derivative
Bulavatsky V.M.
[J]. Cybernetics and Systems Analysis, 2017, 53 (5) : 732 - 742
[24] Existence of solutions for first order impulsive periodic boundary value problems on time scales
Georgiev, Svetlin G.
Akgol, Sibel Dogru
Kus, M. Eymen
[J]. FILOMAT, 2023, 37 (10) : 3029 - 3042
[25] EXISTENCE OF SOLUTIONS FOR SECOND-ORDER NONLINEAR IMPULSIVE BOUNDARY-VALUE PROBLEMS
Ahmad, Bashir
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[26] Necessary conditions for the existence of positive solutions to fractional boundary value problems at resonance
Wang, Yongqing
[J]. APPLIED MATHEMATICS LETTERS, 2019, 97 : 34 - 40
[27] Existence and Uniqueness of Solutions for Fractional Boundary Value Problem with Fractional Boundary Value Conditions
Luo, Xiannan
Guo, Shancui
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2014, 13 (01) : 1 - 17
[28] Existence and Uniqueness of Solutions for Fractional Boundary Value Problem with Fractional Boundary Value Conditions
Xiannan Luo
Shancui Guo
[J]. Qualitative Theory of Dynamical Systems, 2014, 13 : 1 - 17
[29] A note on the existence of solutions for some boundary value problems of fractional differential inclusions
Cernea, Aurelian
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (02) : 183 - 194
[30] Existence and Estimates of Positive Solutions for Some Singular Fractional Boundary Value Problems
Maagli, Habib
Mhadhebi, Noureddine
Zeddini, Noureddine
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →