On Noncompact Fractional Order Differential Inclusions with Generalized Boundary Condition and Impulses in a Banach Space

被引：15
|
作者：
Benedetti, Irene [1 ]
Obukhovskii, Valeri [2 ]
Taddei, Valentina [3 ]
机构：
[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy
[2] Voronezh State Pedag Univ, Fac Math & Phys, Voronezh 394043, Russia
[3] Univ Modena & Reggio Emilia, Dipartimento Sci Fis Informat & Matemat, I-41125 Modena, Italy
来源：
JOURNAL OF FUNCTION SPACES | 2015年 / 2015卷
基金：
俄罗斯基础研究基金会;
关键词：
EXISTENCE; EQUATIONS; 1ST-ORDER;
D O I：
10.1155/2015/651359
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term. As an example we consider a problem in population dynamic described by an integro-partial-differential inclusion.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Boundary value problems for semilinear differential inclusions of fractional order in a Banach space
    Kamenskii, Mikhail
    Obukhovskii, Valeri
    Petrosyan, Garik
    Yao, Jen-Chih
    [J]. APPLICABLE ANALYSIS, 2018, 97 (04) : 571 - 591
  • [2] On a Periodic Boundary Value Problem for a Fractional-Order Semilinear Functional Differential Inclusions in a Banach Space
    Kamenski, Mikhail
    Obukhovskii, Valeri
    Petrosyan, Garik
    Yao, Jen-Chih
    [J]. MATHEMATICS, 2019, 7 (12)
  • [3] EXISTENCE OF SOLUTIONS TO DIFFERENTIAL INCLUSIONS WITH FRACTIONAL ORDER AND IMPULSES
    Benchohra, Mouffak
    Hamani, Samira
    Jose Nieto, Juan
    Slimani, Boualem Attou
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
  • [4] Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space
    Bragdi, Mabrouk
    Debbouche, Amar
    Baleanu, Dumitru
    [J]. ADVANCES IN MATHEMATICAL PHYSICS, 2013, 2013
  • [5] On the Boundary Value Problem for Functional Differential Inclusion of Fractional Order with General Initial Condition in a Banach Space
    Afanasova, M. S.
    Petrosyan, G. G.
    [J]. RUSSIAN MATHEMATICS, 2019, 63 (09) : 1 - 11
  • [6] On the Boundary Value Problem for Functional Differential Inclusion of Fractional Order with General Initial Condition in a Banach Space
    M. S. Afanasova
    G. G. Petrosyan
    [J]. Russian Mathematics, 2019, 63 : 1 - 11
  • [7] ON SEMILINEAR FRACTIONAL ORDER DIFFERENTIAL INCLUSIONS IN BANACH SPACES
    Kamenskii, Mikhail
    Obukhovskii, Valeri
    Petrosyan, Garik
    Yao, Jen-Chih
    [J]. FIXED POINT THEORY, 2017, 18 (01): : 269 - 291
  • [8] Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup
    Obukhovski, Valeri
    Zecca, Pietro
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3424 - 3436
  • [9] A PERIODIC BOUNDARY VALUE PROBLEM FOR SEMILINEAR DIFFERENTIAL INCLUSIONS OF A FRACTIONAL ORDER 2 < q < 3 IN A BANACH SPACE
    Petrosyan, Garik
    Soroka, Maria
    Wen, Ching-Feng
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (12) : 2795 - 2813
  • [10] ON A FRACTIONAL DIFFERENTIAL INCLUSION WITH INTEGRAL BOUNDARY CONDITION IN BANACH SPACES
    Castaing, Charles
    Le Xuan Truong
    Phan Dinh Phung
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (03) : 441 - 471
12345