A note on the existence of solutions for some boundary value problems of fractional differential inclusions

被引：0

作者：

Aurelian Cernea

机构：

[1] University of Bucharest,Faculty of Mathematics and Informatics

来源：

Fractional Calculus and Applied Analysis | 2012年 / 15卷

关键词：

fractional differential inclusion; Caputo fractional derivative; boundary value problem; mixed and closed boundary conditions; 34A60; 34A08; 35R11;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the existence of solutions for fractional differential inclusions of order q ∈ (1, 2] with families of mixed and closed boundary conditions. We establish Filippov type existence results in the case of nonconvex setvalued maps.

引用

页码：183 / 194

页数：11

共 50 条

[31] On the existence of solutions for fractional differential inclusions with anti-periodic boundary conditions
Cernea A.
[J]. Journal of Applied Mathematics and Computing, 2012, 38 (1-2) : 133 - 143
[32] Existence of Solutions for Some Boundary Value Problems of Fractional p-Laplacian Equation at Resonance
Chen, Taiyong
Liu, Wenbin
Liu, Jiaying
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (03) : 503 - 517
[33] Existence of solutions of some boundary value problems with impulsive conditions and ABC-fractional order
Afshari, Hojjat
Roomi, Vahid
Kalantari, Sabileh
[J]. FILOMAT, 2023, 37 (11) : 3639 - 3648
[34] Boundary Value Problems for Hilfer Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions
Wongcharoen, Athasit
Ntouyas, Sotiris K.
Tariboon, Jessada
[J]. MATHEMATICS, 2020, 8 (11) : 1 - 11
[35] Existence results for boundary value problems of nonlinear fractional differential equations
Chai, Guoqing
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (05) : 2374 - 2382
[36] The existence of solutions for boundary value problem of fractional hybrid differential equations
Sun, Shurong
Zhao, Yige
Han, Zhenlai
Li, Yanan
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (12) : 4961 - 4967
[37] Existence results for a class of boundary value problems for fractional differential equations
Dogan, Abdulkadir
[J]. TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (03) : 1149 - 1165
[38] Existence Of Solutions For Fractional Differential Equations Boundary Value Problem With Delay
Li, Yanan
Sun, Shu-Rong
Han, Zhen-lai
[J]. 2012 INTERNATIONAL CONFERENCE ON INDUSTRIAL CONTROL AND ELECTRONICS ENGINEERING (ICICEE), 2012, : 1815 - 1818
[39] Existence of Multiple Positive Solutions for Semipositone Fractional Boundary Value Problems
Ege, Serife Muge
Topal, Fatma Serap
[J]. FILOMAT, 2019, 33 (03) : 749 - 759
[40] On the existence and uniqueness of solutions to a new class of fractional boundary value problems
Neamaty, Abdolali
Yadollahzadeh, Milad
Darzi, Rahmat
Agheli, Bahram
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2016, 93 (09) : 1611 - 1627

← 1 2 3 4 5 →