A System of High-Order Fractional Differential Equations with Integral Boundary Conditions

被引：0

作者：

M. Sangi

S. Saiedinezhad

M. B. Ghaemi

机构：

[1] Iran University of Science and Technology,School of Mathematics

来源：

Journal of Nonlinear Mathematical Physics | 2023年 / 30卷

关键词：

Atangana-Baleanu-Caputo fractional derivative; Integral boundary condition; Measure of noncompactness; Fixed point theory; 26A33; 34A08; 47H08; 47H10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The existence of a solution for a system of two nonlinear high-order fractional differential equations including the Atangana-Baleanu-Caputo derivative with integral boundary conditions, is proved. Simultaneously, we discuss the existence of a solution by applying the Schauder fixed point theorem and a generalized Darbo fixed point theorem, which involves the concept of measure of noncompactness. The paper also contains some examples that illustrate the application of the main result.

引用

页码：699 / 718

页数：19

共 50 条

[1] A System of High-Order Fractional Differential Equations with Integral Boundary Conditions
Sangi, M.
Saiedinezhad, S.
Ghaemi, M. B.
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (02) : 699 - 718
[2] Positive solutions for a high-order semipositone fractional differential equation with integral boundary conditions
Wang Y.
Yang Y.
[J]. Journal of Applied Mathematics and Computing, 2014, 45 (1-2) : 99 - 109
[3] High-order mixed-type differential equations with weighted integral boundary conditions
Denche, M.
Marhoune, A. L.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2000,
[4] ON A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED INTEGRAL BOUNDARY CONDITIONS
Henderson, Johnny
Luca, Rodica
Tudorache, Alexandru
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (02) : 361 - 386
[5] ON A COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
Alkhateeb, Areen
[J]. PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL I, 2018, : 74 - 76
[6] On a System of Fractional Differential Equations with Coupled Integral Boundary Conditions
Johnny Henderson
Rodica Luca
Alexandru Tudorache
[J]. Fractional Calculus and Applied Analysis, 2015, 18 : 361 - 386
[7] Fractional differential equations with integral boundary conditions
Wang, Xuhuan
Wang, Liping
Zeng, Qinghong
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (04): : 309 - 314
[8] Collocation for High-Order Differential Equations with Lidstone Boundary Conditions
Costabile, Francesco
Napoli, Anna
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[9] Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions
Nanware, J. A.
Dhaigude, D. B.
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (04): : 246 - 254
[10] A coupled system of fractional differential equations with nonlocal integral boundary conditions
Sotiris K Ntouyas
Mustafa Obaid
[J]. Advances in Difference Equations, 2012

← 1 2 3 4 5 →