On the existence of solutions for fractional q-difference inclusions with q-antiperiodic boundary conditions

被引：0

作者：

Ahmad, Bashir ^{[1
]}

Etemad, Sina ^{[2
]}

Ettefagh, Mina ^{[3
]}

Rezapour, Shahram ^{[4
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[2] Islamic Azad Univ, Tabriz Branch, Young Researchers & Elite Club, Tabriz, Iran

[3] Islamic Azad Univ, Tabriz Branch, Dept Math, Tabriz, Iran

[4] Azarbaijan Shahid Madani Univ, Dept Math, Azarshahr, Tabriz, Iran

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2016年 / 59卷 / 02期

关键词：

Fractional q-difference inclusion; q-antiperiodic conditions; convex or compact valued multifunction; fixed point; Q-INTEGRALS; EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the existence of solutions for a nonlinear fractional q-difference inclusion: (c)D(q)(alpha)u(t) is an element of F(t,u(t),D(q)u(t),D(q)(2)u(t)), 2 < alpha <= 3 supplemented with q-antiperiodic boundary conditions for convex and non-convex multivalued maps.

引用

页码：119 / 134

页数：16

共 36 条

[1] Adams C.R., 1931, Bull. Am. Math. Soc, V37, P361
[2] Adams C. R., 1922, THESIS
[3] Adams CR, 1924, T AM MATH SOC, V26, P283
[4] Adams CR, 1929, T AM MATH SOC, V31, P861
[5] Adams CR, 1929, T AM MATH SOC, V31, P360
[6] On the linear ordinary q-difference equation
Adams, CR
[J]. ANNALS OF MATHEMATICS, 1928, 30 : 195 - 205
[7] Adams CR, 1926, ANN MATH, V27, P73
[8] CERTAIN FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES
AGARWAL, RP
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 66 : 365 - &
[9] Existence of solutions for nonlinear fractional q-difference integral equations with two fractional orders and nonlocal four-point boundary conditions
Ahmad, Bashir
Nieto, Juan J.
Alsaedi, Ahmed
Al-Hutami, Hana
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (05): : 2890 - 2909
[10] Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations
Ahmad, Bashir
Ntouyas, Sotiris K.
Purnaras, Ioannis K.
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012,

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