On a class of sequential fractional q-integrodifference boundary value problems involving different numbers of q in derivatives and integrals

被引：11

作者：

Patanarapeelert, Nichaphat ^{[1
]}

Sriphanomwan, Umaporn ^{[1
]}

Sitthiwirattham, Thanin ^{[1
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Nonlinear Dynam Anal Res Ctr, Dept Math, Bangkok, Thailand

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2016年

关键词：

existence; q-derivative; q-integral; q-integrodifference equation; EQUATIONS; EXISTENCE;

D O I：

10.1186/s13662-016-0872-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a sequential fractional q-integrodifference equation with fractional q-integral and q-derivative boundary value conditions. Our problem contains two different fractional orders and six different numbers of q in derivatives and integrals. By using Banach's contraction principle and Krasnoselskii's fixed point theorem, some new existence and uniqueness results are obtained. An illustrative example is also presented.

引用

页码：1 / 16

页数：16

共 50 条

[21] POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS INVOLVING NONLINEAR FRACTIONAL q-DIFFERENCE EQUATIONS
Yang, Wengui
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2013, 5 (02): : 205 - 219
[22] On two structures of the fractional q-sequential integro-differential boundary value problems
Nguyen Duc Phuong
Etemad, Sina
Rezapour, Shahram
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 45 (02) : 618 - 639
[23] On sequential fractional Caputo (p, q)-integrodifference equations via three-point fractional Riemann-Liouville (p, q)-difference boundary condition
Soontharanon, Jarunee
Sitthiwirattham, Thanin
AIMS MATHEMATICS, 2022, 7 (01): : 704 - 722
[24] Positive solutions for a class of q-fractional boundary value problems with p-Laplacian
Zhao, Jidong
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (04): : 442 - 450
[25] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR A CLASS OF BOUNDARY VALUE PROBLEMS WITH FRACTIONAL q-DIFFERENCES
Khodabakhshi, Neda
Vaezpour, S. Mansour
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (02) : 375 - 384
[26] Positive Solutions for a Class of Singular Boundary Value Problems with Fractional q-Difference Equations
Wang, Jufang
Yu, Changlong
Guo, Yanping
JOURNAL OF FUNCTION SPACES, 2015, 2015
[27] Positive solutions to a class of q-fractional difference boundary value problems with φ-Laplacian operator
Zhao, Jidong
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 3802 - 3807
[28] Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional q-derivatives
Yulin Zhao
Haibo Chen
Qiming Zhang
Boundary Value Problems, 2013
[29] Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional q-derivatives
Zhao, Yulin
Chen, Haibo
Zhang, Qiming
BOUNDARY VALUE PROBLEMS, 2013,
[30] Nonlocal Fractional Hybrid Boundary Value Problems Involving Mixed Fractional Derivatives and Integrals via a Generalization of Darbo's Theorem
Samadi, Ayub
Ntouyas, Sotiris K.
Tariboon, Jessada
JOURNAL OF MATHEMATICS, 2021, 2021

← 1 2 3 4 5 →