Boundary Value Problems of Nonlinear Fractional q-Difference (Integral) Equations with Two Fractional Orders and Four-point Nonlocal Integral Boundary Conditions

被引：24

作者：

Ahmad, Bashir ^{[1
]}

Nieto, Juan J. ^{[1
,2
]}

Alsaedi, Ahmed ^{[1
]}

Al-Hutami, Hana ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

FILOMAT | 2014年 / 28卷 / 08期

关键词：

Fractional q-difference equations; nonlocal boundary conditions; existence; Leray Schauder nonlinear alternative; fixed point; POSITIVE SOLUTIONS; Q-DERIVATIVES; EXISTENCE; INCLUSIONS;

D O I：

10.2298/FIL1408719A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence of solutions for nonlinear fractional q-difference equations and q-difference integral equations involving two fractional orders with four-point nonlocal integral boundary conditions. The existence results are obtained by applying some traditional tools of fixed point theory, and are illustrated with examples.

引用

页码：1719 / 1736

页数：18

共 31 条

[1] Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
Agarwal, Ravi P.
Ahmad, Bashir
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1200 - 1214
[2] CERTAIN FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES
AGARWAL, RP
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 66 : 365 - &
[3] Basic Theory of Nonlinear Third-Order q-Difference Equations and Inclusions
Ahmad, Bashir
Jose Nieto, Juan
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2013, 18 (01) : 122 - 135
[4] Sequential fractional differential equations with three-point boundary conditions
Ahmad, Bashir
Nieto, Juan J.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) : 3046 - 3052
[5] Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions
Ahmad, Bashir
Nieto, Juan J.
[J]. BOUNDARY VALUE PROBLEMS, 2011, : 1 - 9
[6] Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces
Akyildiz, F. Talay
Bellout, Hamid
Vajravelu, Kuppalapalle
Van Gorder, Robert A.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) : 2919 - 2930
[7] SOME FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES
ALSALAM, WA
[J]. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1966, 15 : 135 - &
[8] q-Fractional Calculus and Equations Preface
Ismail, Mourad
[J]. Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : IX - +
[9] [Anonymous], 1999, FRACTIONAL DIFFERENT
[10] [Anonymous], 2006, Journal of the Electrochemical Society

← 1 2 3 4 →