Controllability of fractional differential evolution equation of order ? ? (1, 2) with nonlocal conditions

被引：6

作者：

Hussain, Sadam ^{[1
]}

Sarwar, Muhammad ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

Shah, Kamal ^{[1
]}

机构：

[1] Univ Malakand, Dept Math, Chakdara Dir L, Khyber Pakhtunk, Pakistan

[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 06期

关键词：

controllability; fractional differential evolution equations; positive mild solution; fixed points; MILD SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.3934/math.2023726

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence of positive mild solutions and controllability for fractional differential evolution equations of order gamma is an element of (1, 2) with nonlocal conditions in Banach spaces. Our approach is based on Schauder's fixed point theorem, Krasnoselskii's fixed point theorem, and the Arzela-Ascoli theorem. Finally, we include an example to verify our theoretical results.

引用

页码：14188 / 14206

页数：19

共 50 条

[11] Optimal control of nonlocal fractional evolution equations in the α-norm of order (1,2)
Niazi, Azmat Ullah Khan
Iqbal, Naveed
Mohammed, Wael W.
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01):
[12] Controllability of Second-Order Differential Inclusions in Banach Spaces with Nonlocal Conditions
M. Benchohra
S. K. Ntouyas
Journal of Optimization Theory and Applications, 2000, 107 : 559 - 571
[13] Controllability of second-order differential inclusions in Banach spaces with nonlocal conditions
Benchohra, M
Ntouyas, SK
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 107 (03) : 559 - 571
[14] Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions
Jiang, Jiqiang
Liu, Weiwei
Wang, Hongchuan
JOURNAL OF FUNCTION SPACES, 2018, 2018
[15] Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
Debbouche, Amar
Baleanu, Dumitru
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1442 - 1450
[16] On the finite approximate controllability for Hilfer fractional evolution systems with nonlocal conditions
Liu, Xianghu
OPEN MATHEMATICS, 2020, 18 : 529 - 539
[17] Approximate Controllability of Fractional Neutral Stochastic Evolution Equations with Nonlocal Conditions
Farahi, Souad
Guendouzi, Toufik
RESULTS IN MATHEMATICS, 2014, 65 (3-4) : 501 - 521
[18] Controllability of fractional stochastic evolution equations with nonlocal conditions and noncompact semigroups
Ding, Yonghong
Li, Yongxiang
OPEN MATHEMATICS, 2020, 18 : 616 - 631
[19] Controllability of impulsive differential systems with nonlocal conditions
Ji, Shaochun
Li, Gang
Wang, Min
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (16) : 6981 - 6989
[20] APPROXIMATE CONTROLLABILITY OF FRACTIONAL ORDER NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL SYSTEM WITH NONLOCAL CONDITIONS AND INFINITE DELAY
Muthukumar, P.
Rajivganthi, C.
TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (05): : 1693 - 1713

← 1 2 3 4 5 →