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

被引：7

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

[41] NEW RESULTS ON CONTROLLABILITY OF FRACTIONAL EVOLUTION SYSTEMS WITH ORDER α ∈ (1,2)
Zhou, Yong
He, Jia Wei
EVOLUTION EQUATIONS AND CONTROL THEORY, 2021, 10 (03): : 491 - 509
[42] Approximate Controllability of Fractional Neutral Stochastic Evolution Equations with Nonlocal Conditions
Souad Farahi
Toufik Guendouzi
Results in Mathematics, 2014, 65 : 501 - 521
[43] Approximate controllability for Hilfer fractional stochastic evolution inclusion with nonlocal conditions
Li, Xuemei
Liu, Xinge
STOCHASTIC ANALYSIS AND APPLICATIONS, 2023, 41 (04) : 647 - 671
[44] Finite-approximate controllability of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions
Ding, Yonghong
Li, Yongxiang
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2023, 26 (03) : 1326 - 1358
[45] Controllability of Nonlinear Differential Equations in Banach Space with Nonlocal Conditions
M. Benchohra
S. K. Ntouyas
Journal of Optimization Theory and Applications, 2001, 110 : 315 - 324
[46] Controllability of nonlinear differential equations in Banach space with nonlocal conditions
Benchohra, M
Ntouyas, SK
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 110 (02) : 315 - 324
[47] Boundary value problems for differential equations with fractional order and nonlocal conditions
Benchohra, M.
Hamani, S.
Ntouyas, S. K.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) : 2391 - 2396
[48] Controllability of semilinear evolution equations with nonlocal conditions
Li M.-L.
Wang M.-S.
Fu X.-L.
Acta Mathematicae Applicatae Sinica, 2005, 21 (4) : 697 - 704
[49] Solvability for a class of evolution equations of fractional order with nonlocal conditions on the half-line
Lv, Zhanmei
Gong, Yanping
Chen, Yi
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[50] Approximate controllability for Hilfer fractional stochastic differential systems of order 1<μ<2
Pradeesh, J.
Vijayakumar, V.
JOURNAL OF CONTROL AND DECISION, 2024, : 366 - 381

← 1 2 3 4 5 →