Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions

被引：17

作者：

Agarwal, Ravi P. ^{[1
,2
]}

Ahmad, Bashir ^{[1
]}

Alsaedi, Ahmad ^{[1
]}

Shahzad, Naseer ^{[1
]}

机构：

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

[2] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

nonlocal problem; fractional differential inclusions; topological dimension; mild solution; fixed point theorems;

D O I：

10.1186/1687-1847-2012-74

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies the existence and dimension of the set for mild solutions of semilinear fractional differential inclusions. We recall and prove some new results on multivalued maps to establish our main results. MSC 2010: 34A12; 34A40.

引用

页数：10

共 50 条

[11] Existence and controllability results for fractional semilinear differential inclusions
Wang, JinRong
Zhou, Yong
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) : 3642 - 3653
[12] Existence of Asymptotically Almost Automorphic Mild Solutions of Semilinear Fractional Differential Equations
Cao, Junfei
Huang, Zaitang
N'Guerekata, Gaston M.
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 2018
[13] ON THE EXISTENCE OF MILD SOLUTIONS TO SOME SEMILINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
Diagana, T.
Mophou, G. M.
N'Guerekata, G. M.
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (58)
[14] DIMENSION OF THE SOLUTION SET FOR FRACTIONAL DIFFERENTIAL INCLUSIONS
Agarwal, Ravi P.
Ahmad, Bashir
Alsaedi, Ahmed
Shahzad, Naseer
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2013, 14 (02) : 319 - 329
[15] MILD SOLUTIONS FOR NONLOCAL FRACTIONAL SEMILINEAR FUNCTIONAL DIFFERENTIAL INCLUSIONS INVOLVING CAPUTO DERIVATIVE
Ibrahim, Ahmed G.
Almoulhim, Noriah
[J]. MATEMATICHE, 2014, 69 (01): : 125 - 148
[16] MILD SOLUTIONS FOR SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Mophou, Gisele M.
N'Guerekata, Gaston M.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[17] Existence and Controllability Results for Fractional Stochastic Semilinear Differential Inclusions
Toufik G.
[J]. Differential Equations and Dynamical Systems, 2015, 23 (3) : 225 - 240
[18] Existence results for fractional semilinear differential inclusions in Banach spaces
Liu X.
Liu Z.
[J]. Journal of Applied Mathematics and Computing, 2013, 42 (1-2) : 171 - 182
[19] An existence theorem for set differential inclusions in a semilinear metric space
de Blasi, F. S.
Lakshmikantham, V.
Bhaskar, T. Gnana
[J]. CONTROL AND CYBERNETICS, 2007, 36 (03): : 571 - 582
[20] Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions
Mohamed A. E. Herzallah
Ashraf H. A. Radwan
[J]. Journal of the Egyptian Mathematical Society, 27 (1)

← 1 2 3 4 5 →