Existence results for coupled differential equations of non-integer order with Riemann-Liouville, Erdelyi-Kober integral conditions

被引：3

作者：

Baleanu, Dumitru ^{[1
,2
,3
]}

Hemalatha, S. ^{[4
]}

Duraisamy, P. ^{[5
]}

Pandiyan, P. ^{[6
]}

Muthaiah, Subramanian ^{[7
]}

机构：

[1] Cankaya Univ, Dept Math, Ankara, Turkey

[2] Inst Space Sci, Magurele, Romania

[3] China Med Univ, Dept Med Res, Taichung, Taiwan

[4] Sasurie Coll Arts & Sci, Dept Math, Vijayamangalam, India

[5] Gobi Arts & Sci Coll, Dept Math, Gobichettipalayam, India

[6] KPR Inst Engn & Technol, Dept Elect & Elect Engn, Coimbatore, Tamil Nadu, India

[7] KPR Inst Engn & Technol, Dept Math, Coimbatore, Tamil Nadu, India

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 12期

关键词：

Caputo derivatives; Erdelyi-Kober integrals; Riemann-Liouville integrals; coupled system; existence; fixed point; SYSTEM; STABILITY;

D O I：

10.3934/math.2021752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes the existence and uniqueness of a solution for a coupled system that has fractional differential equations through Erdelyi-Kober and Riemann-Liouville fractional integral boundary conditions. The existence of the solution for the coupled system by adopting the Leray-Schauder alternative. The uniqueness of solution for the problem can be found using Banach fixed point theorem. In order to verify the proposed criterion, some numerical examples are also discussed.

引用

页码：13004 / 13023

页数：20

共 50 条

[21] Existence of solutions for Riemann-Liouville fractional differential equations with nonlocal Erdélyi-Kober integral boundary conditions on the half-line
Phollakrit Thiramanus
Sotiris K Ntouyas
Jessada Tariboon
Boundary Value Problems, 2015
[22] Existence Results for Nonlinear Coupled Hilfer Fractional Differential Equations with Nonlocal Riemann-Liouville and Hadamard-Type Iterated Integral Boundary Conditions
Theswan, Sunisa
Ntouyas, Sotiris K.
Ahmad, Bashir
Tariboon, Jessada
SYMMETRY-BASEL, 2022, 14 (09):
[23] Riemann-Liouville fractional differential equations with Hadamard fractional integral conditions
Tariboon, Jessada
Ntouyas, Sotiris K.
Thiramanus, Phollakrit
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2016, 54 (01): : 119 - 134
[24] Mixed problems of fractional coupled systems of Riemann-Liouville differential equations and Hadamard integral conditions
Ntouyas, S. K.
Tariboon, Jessada
Thiramanus, Phollakrit
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (05) : 813 - 828
[25] EXISTENCE RESULTS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH RIEMANN-LIOUVILLE DERIVATIVE
Jiaxing Zhou
Hongwei Yin
Annals of Differential Equations, 2014, 30 (03) : 373 - 378
[26] Existence of solutions for q-fractional differential equations with nonlocal Erdelyi-Kober q-fractional integral condition
Jiang, Min
Huang, Rengang
AIMS MATHEMATICS, 2020, 5 (06): : 6537 - 6551
[27] Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions
Tariboon, Jessada
Ntouyas, Sotiris K.
Sudsutad, Weerawat
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (01): : 295 - 308
[28] Mixed Erdelyi-Kober and Caputo fractional differential equations with nonlocal non-separated boundary conditions
Samadi, Ayub
Kamthorncharoen, Chaiyod
Ntouyas, Sotiris K.
Tariboon, Jessada
AIMS MATHEMATICS, 2024, 9 (11): : 32904 - 32920
[29] Existence and Uniqueness Results for Nonlinear Implicit Riemann-Liouville Fractional Differential Equations with Nonlocal Conditions
Lachouri, Adel
Ardjouni, Abdelouaheb
Djoudi, Ahcene
FILOMAT, 2020, 34 (14) : 4881 - 4891
[30] On a Hilfer Fractional Differential EquationWith Nonlocal ErdeLyi-Kober Fractional Integral Boundary Conditions
Abbas, Mohamed, I
FILOMAT, 2020, 34 (09) : 3003 - 3014

← 1 2 3 4 5 →