Nonlocal Controllability of Sobolev-Type Conformable Fractional Stochastic Evolution Inclusions with Clarke Subdifferential

被引:35
作者
Ahmed, Hamdy M. [1 ]
Ragusa, Maria Alessandra [2 ,3 ]
机构
[1] El Shorouk Acad, Higher Inst Engn, Cairo, Egypt
[2] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
[3] RUDN Univ, 6 Miklukho, Moscow 117198, Russia
关键词
Conformable fractional derivative; Stochastic evolution inclusions; Nonlocal controllability; Clarke subdifferential; DIFFERENTIAL-EQUATIONS;
D O I
10.1007/s40840-022-01377-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, Sobolev-type conformable fractional stochastic evolution inclusions with Clarke subdifferential and nonlocal conditions are studied. By using fractional calculus, stochastic analysis, properties of Clarke subdifferential and nonsmooth analysis, sufficient conditions for nonlocal controllability for the considered problem are established. Finally, an example is given to illustrate the obtained results.
引用
收藏
页码:3239 / 3253
页数:15
相关论文
共 30 条
[1]   On the Hybrid Fractional Differential Equations with Fractional Proportional Derivatives of a Function with Respect to a Certain Function [J].
Abbas, Mohamed, I ;
Ragusa, Maria Alessandra .
SYMMETRY-BASEL, 2021, 13 (02) :1-16
[2]   The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps [J].
Ahmed, Hamdy M. ;
Zhu, Quanxin .
APPLIED MATHEMATICS LETTERS, 2021, 112 (112)
[3]   Neutral fractional stochastic partial differential equations with Clarke subdifferential [J].
Ahmed, Hamdy M. ;
El-Owaidy, Hassan M. ;
AL-Nahhas, Mahmoud A. .
APPLICABLE ANALYSIS, 2021, 100 (15) :3220-3232
[4]   Controllability and constrained controllability for nonlocal Hilfer fractional differential systems with Clarke's subdifferential [J].
Ahmed, Hamdy M. ;
El-Borai, Mahmoud M. ;
El Bab, A. S. Okb ;
Ramadan, M. Elsaid .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
[5]   Sobolev-type fractional stochastic differential equations with non-Lipschitz coefficients [J].
Benchaabane, Abbes ;
Sakthivel, Rathinasamy .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 312 :65-73
[6]   Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay [J].
Boudaoui, Ahmed ;
Caraballo, Tomas ;
Ouahab, Abdelghani .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (06) :1435-1451
[7]  
Clarke F.H., 1990, Optimization and Nonsmooth Analysis, DOI [10.1137/1.9781611971309, DOI 10.1137/1.9781611971309]
[8]   Fractional calculus, zeta functions and Shannon entropy [J].
Guariglia, Emanuel .
OPEN MATHEMATICS, 2021, 19 (01) :87-100
[10]   A new definition of fractional derivative [J].
Khalil, R. ;
Al Horani, M. ;
Yousef, A. ;
Sababheh, M. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 264 :65-70